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Finding the Fourth Proportional to 659.28, 908.68 and 472.20

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Solution

The fourth proportional to 659.28, 908.68 and 472.20 is: 650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.28 : 908.68 = 472.20 : x
  2. Step 2: Convert to fraction form
    659.28/908.68 = 472.20/x
  3. Step 3: Cross multiply
    659.28x = 908.68 × 472.20
  4. Step 4: Simplify right side
    659.28x = 429,078.70
  5. Step 5: Solve for x
    x = 429,078.70/659.28
  6. Step 6: Final answer
    x = 650.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.