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Finding the Fourth Proportional to 658.12, 908.07 and 500.71

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Solution

The fourth proportional to 658.12, 908.07 and 500.71 is: 690.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.12 : 908.07 = 500.71 : x
  2. Step 2: Convert to fraction form
    658.12/908.07 = 500.71/x
  3. Step 3: Cross multiply
    658.12x = 908.07 × 500.71
  4. Step 4: Simplify right side
    658.12x = 454,680.98
  5. Step 5: Solve for x
    x = 454,680.98/658.12
  6. Step 6: Final answer
    x = 690.88

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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.