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Finding the Fourth Proportional to 658.81, 987.85 and 411.40

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Solution

The fourth proportional to 658.81, 987.85 and 411.40 is: 616.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.81 : 987.85 = 411.40 : x
  2. Step 2: Convert to fraction form
    658.81/987.85 = 411.40/x
  3. Step 3: Cross multiply
    658.81x = 987.85 × 411.40
  4. Step 4: Simplify right side
    658.81x = 406,394.49
  5. Step 5: Solve for x
    x = 406,394.49/658.81
  6. Step 6: Final answer
    x = 616.87

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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.