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Finding the Fourth Proportional to 425.76, 638.24 and 169.28

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Solution

The fourth proportional to 425.76, 638.24 and 169.28 is: 253.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.76 : 638.24 = 169.28 : x
  2. Step 2: Convert to fraction form
    425.76/638.24 = 169.28/x
  3. Step 3: Cross multiply
    425.76x = 638.24 × 169.28
  4. Step 4: Simplify right side
    425.76x = 108,041.27
  5. Step 5: Solve for x
    x = 108,041.27/425.76
  6. Step 6: Final answer
    x = 253.76

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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.