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Finding the Fourth Proportional to 331.87, 458.27 and 207.74

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Solution

The fourth proportional to 331.87, 458.27 and 207.74 is: 286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.87 : 458.27 = 207.74 : x
  2. Step 2: Convert to fraction form
    331.87/458.27 = 207.74/x
  3. Step 3: Cross multiply
    331.87x = 458.27 × 207.74
  4. Step 4: Simplify right side
    331.87x = 95,200.18
  5. Step 5: Solve for x
    x = 95,200.18/331.87
  6. Step 6: Final answer
    x = 286.86

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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.