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The U.S. Fish and Wildlife Service reported that the mean length of six-year-old rainbow trout in the Arolik River in Alaska is 481 millimeters with a standard deviation of 41 millimeters. Assume these lengths are normally distributed. A size limit is to be put on trout that are caught. What should the size limit be so that 35% of six-year-old trout have lengths shorter than the limit? Round your answer to two decimal places.
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