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Runzheimer International publishes business travel costs for various cities throughout the world. In particular, they publish per diem totals that represent the average costs for the typical business traveler, including three meals a day in business-class restaurants and single-rate lodging in business-class hotels. Suppose 86.65% of the per diem costs in Buenos Aires, Argentina, are less than $449. Assuming that per diem costs are normally distributed and that the standard deviation of per diem costs in Buenos Aires is $36, what is the average per diem cost in Buenos Aires?

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