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Finding the Fourth Proportional to 477.67, 715.20 and 362.17

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Solution

The fourth proportional to 477.67, 715.20 and 362.17 is: 542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.67 : 715.20 = 362.17 : x
  2. Step 2: Convert to fraction form
    477.67/715.20 = 362.17/x
  3. Step 3: Cross multiply
    477.67x = 715.20 × 362.17
  4. Step 4: Simplify right side
    477.67x = 259,023.98
  5. Step 5: Solve for x
    x = 259,023.98/477.67
  6. Step 6: Final answer
    x = 542.27

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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.