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Finding the Fourth Proportional to 457.92, 686.96 and 169.44

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Solution

The fourth proportional to 457.92, 686.96 and 169.44 is: 254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.92 : 686.96 = 169.44 : x
  2. Step 2: Convert to fraction form
    457.92/686.96 = 169.44/x
  3. Step 3: Cross multiply
    457.92x = 686.96 × 169.44
  4. Step 4: Simplify right side
    457.92x = 116,398.50
  5. Step 5: Solve for x
    x = 116,398.50/457.92
  6. Step 6: Final answer
    x = 254.19

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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.