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The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the test was 494

The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the test was 494 and the standard deviation was 72. If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing socre? Assume that the scores are normally distributed.

Round to the nearest whole number.

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