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Finding the Fourth Proportional to 462.15, 637.92 and 314.73

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Solution

The fourth proportional to 462.15, 637.92 and 314.73 is: 434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.15 : 637.92 = 314.73 : x
  2. Step 2: Convert to fraction form
    462.15/637.92 = 314.73/x
  3. Step 3: Cross multiply
    462.15x = 637.92 × 314.73
  4. Step 4: Simplify right side
    462.15x = 200,772.56
  5. Step 5: Solve for x
    x = 200,772.56/462.15
  6. Step 6: Final answer
    x = 434.43

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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.