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Finding the Fourth Proportional to 391.92, 540.85 and 217.27

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Solution

The fourth proportional to 391.92, 540.85 and 217.27 is: 299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.92 : 540.85 = 217.27 : x
  2. Step 2: Convert to fraction form
    391.92/540.85 = 217.27/x
  3. Step 3: Cross multiply
    391.92x = 540.85 × 217.27
  4. Step 4: Simplify right side
    391.92x = 117,508.59
  5. Step 5: Solve for x
    x = 117,508.59/391.92
  6. Step 6: Final answer
    x = 299.83

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Why These Related Problems?

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