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Finding the Fourth Proportional to 462.92, 639.30 and 456.86

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Solution

The fourth proportional to 462.92, 639.30 and 456.86 is: 630.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.92 : 639.30 = 456.86 : x
  2. Step 2: Convert to fraction form
    462.92/639.30 = 456.86/x
  3. Step 3: Cross multiply
    462.92x = 639.30 × 456.86
  4. Step 4: Simplify right side
    462.92x = 292,070.60
  5. Step 5: Solve for x
    x = 292,070.60/462.92
  6. Step 6: Final answer
    x = 630.93

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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.