Zampa was the most successful bowler with four wickets, while Cummins took three and Behrendorff, Lyon and Maxwell claimed one wicket each.
Already 2-0 down in the five-match ODI series, Pakistan will be looking to make a last-ditch effort to stop Australia from taking the series.
Finch, whose captaincy was being questioned a month ago because of his form slump, has now scored 479 runs at 95.8 from six matches to take his career-best form to an unprecedentedly consistent level.
In three knocks against Pakistan, he has scored 359 runs. His innings in the capital followed match-winning contributions of 116 and 153 not out in the wins at Sharjah Cricket Stadium in the opening two matches of the five-game series.
One-day global defeat against Australia has given Pakistan a great opportunity to test their bench strength ahead of the worldwide Cricket Council (ICC) Men's cricket World Cup 2019, said Pakistan bowling coach Azhar Mahmood.
Australia won the toss and elected to bat, but they were off to a bad start as they were reduced to 20 for two having lost both Usman Khawaja (0) and Shaun Marsh (14).
What made it different to his previous 12 months was that he stayed in, and he had help - Peter Handscomb worked teenager Mohammad Hasnain with four boundaries in an over early in their partnership, while Glenn Maxwell's 55-ball 71 helped Australia to 266.
Twitterati erupted after the Aussies won the match and congratulated the team.
Malik and Imam shared a 59-run stand but the Australian bowlers always controlled the game once Cummins found the outside edges of Shan Masood, Haris Sohail and Mohammad Rizwan which reduced Pakistan to 16-3. I was struggling there, to be honest.
"We always get castigated for not trying new players and now we are getting castigated for giving opportunities to new players", Arthur was quoted as saying in a Pakistan Cricket Board (PCB) press release.
Finch said he believed the form of the top-order batsmen meant they could go about the innings with confidence and objective, and hopefully post an above-par total.
"I think we got to realise that we have players who are of the global level; the chaps that are here are very good cricketers and will become very good cricketers".