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Finding the Fourth Proportional to 658.11, 985.69 and 472.65

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Solution

The fourth proportional to 658.11, 985.69 and 472.65 is: 707.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.11 : 985.69 = 472.65 : x
  2. Step 2: Convert to fraction form
    658.11/985.69 = 472.65/x
  3. Step 3: Cross multiply
    658.11x = 985.69 × 472.65
  4. Step 4: Simplify right side
    658.11x = 465,886.38
  5. Step 5: Solve for x
    x = 465,886.38/658.11
  6. Step 6: Final answer
    x = 707.92

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