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Finding the Fourth Proportional to 476.69, 715.28 and 361.10

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Solution

The fourth proportional to 476.69, 715.28 and 361.10 is: 541.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.69 : 715.28 = 361.10 : x
  2. Step 2: Convert to fraction form
    476.69/715.28 = 361.10/x
  3. Step 3: Cross multiply
    476.69x = 715.28 × 361.10
  4. Step 4: Simplify right side
    476.69x = 258,283.58
  5. Step 5: Solve for x
    x = 258,283.58/476.69
  6. Step 6: Final answer
    x = 541.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.