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Finding the Fourth Proportional to 498.32, 747.53 and 169.25

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Solution

The fourth proportional to 498.32, 747.53 and 169.25 is: 253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.32 : 747.53 = 169.25 : x
  2. Step 2: Convert to fraction form
    498.32/747.53 = 169.25/x
  3. Step 3: Cross multiply
    498.32x = 747.53 × 169.25
  4. Step 4: Simplify right side
    498.32x = 126,514.87
  5. Step 5: Solve for x
    x = 126,514.87/498.32
  6. Step 6: Final answer
    x = 253.89

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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.