What three numbers have an average of 476?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 476. This means if we add these three numbers together and divide by 3, we should get 476.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 476 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 476 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1428

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1428.

Solution 1:

476, 476, 476

Verification:

(476 + 476 + 476) / 3 = 1428 / 3 ≈ 476

This solution is correct!

Solution 2:

476, 476, 476

Verification:

(476 + 476 + 476) / 3 = 1428 / 3 ≈ 476

This solution is correct!

Solution 3:

417, 451, 560

Verification:

(417 + 451 + 560) / 3 = 1428 / 3 ≈ 476

This solution is correct!

Solution 4:

551, 324, 553

Verification:

(551 + 324 + 553) / 3 = 1428 / 3 ≈ 476

This solution is correct!

Solution 5:

694, 183, 551

Verification:

(694 + 183 + 551) / 3 = 1428 / 3 ≈ 476

This solution is correct!

Explanation:

As you can see, there are many possible solutions. We can find more by:

Remember:

Try it out:

(X+Y+Z) / 3 = 140What three numbers have an average of 140 ?
(X+Y+Z) / 3 = 904What three numbers have an average of 904 ?
(X+Y+Z) / 3 = 506What three numbers have an average of 506 ?

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