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Final answer:To find how many numbers less than 904 are divisible by 3, we find the closest number to 904 divisible by 3 which is 903. Dividing 903 by 3 gives us 301. So, there are 301 numbers less than 904 that are divisible by 3.Explanation:To determine how many numbers aredivisibleby 3 but less than 904, it's helpful to find the closest number to 904 divisible by 3.We know that a number is divisible by 3 if the sum of its digits is divisible by 3. For example, thenumber6 is divisible by 3 because the sum of its digits (6) is divisible by 3. Thus, 900 is divisible by 3 because the sum of its digits (9+0+0) equals 9 which is divisible by 3.From 900, we keep adding 3 until we get to a number less than 904 and divisible by 3, which is 903. Then you can divide 903 by 3 to get the total number of integers less than 904 divisible by 3. Therefore, 903/3 equals 301.So, there are 301 numbers that are less than 904 and are divisible by 3.Learn more about Numbers Divisible by 3 here:brainly.com/question/35460417#SPJ3...