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"There are a number of candidates who have spurned Florida's straw poll, and I think that's a big mistake," Perry said Saturday. "I have all my hopes on Florida."

But Perry did not seem to make a good impression with Florida voters, who may have been concerned by his debate performance or continued description of the Social Security program as a "Ponzi scheme." The SurveyUSA poll found that four times as many Florida Republicans had a favorable view of Romney relative to Perry.

Romney, the former governor of Massachusetts, might have to be more concerned about Cain, who has been surging in national polls after the straw poll victory. On Wednesday, a national poll released by Fox News found the former pizza company executive running third behind Romney and Perry, tripling his level of support from a month prior.

Romney seems to be shoring up support among older voters, women and moderates, while Cain is gathering steam behind men, younger voters and Tea Party members. Perry's stronghold in Florida remains evangelicals.

Newt Gingrich, Bachmann and Texas Rep. Ron Paul effectively tied for fourth place in the SurveyUSA poll, with around 5 percent.