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Finding the Fourth Proportional to 861.38, 1,292.20 and 284.39

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Solution

The fourth proportional to 861.38, 1,292.20 and 284.39 is: 426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.38 : 1,292.20 = 284.39 : x
  2. Step 2: Convert to fraction form
    861.38/1,292.20 = 284.39/x
  3. Step 3: Cross multiply
    861.38x = 1,292.20 × 284.39
  4. Step 4: Simplify right side
    861.38x = 367,481.59
  5. Step 5: Solve for x
    x = 367,481.59/861.38
  6. Step 6: Final answer
    x = 426.62

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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.