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Finding the Fourth Proportional to 458.92, 687.87 and 227.97

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Solution

The fourth proportional to 458.92, 687.87 and 227.97 is: 341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.92 : 687.87 = 227.97 : x
  2. Step 2: Convert to fraction form
    458.92/687.87 = 227.97/x
  3. Step 3: Cross multiply
    458.92x = 687.87 × 227.97
  4. Step 4: Simplify right side
    458.92x = 156,814.30
  5. Step 5: Solve for x
    x = 156,814.30/458.92
  6. Step 6: Final answer
    x = 341.70

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Why These Related Problems?

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