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Finding the Fourth Proportional to 457.62, 686.74 and 169.06

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Solution

The fourth proportional to 457.62, 686.74 and 169.06 is: 253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.62 : 686.74 = 169.06 : x
  2. Step 2: Convert to fraction form
    457.62/686.74 = 169.06/x
  3. Step 3: Cross multiply
    457.62x = 686.74 × 169.06
  4. Step 4: Simplify right side
    457.62x = 116,100.26
  5. Step 5: Solve for x
    x = 116,100.26/457.62
  6. Step 6: Final answer
    x = 253.70

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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.