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Finding the Fourth Proportional to 498.47, 748.17 and 282.20

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Solution

The fourth proportional to 498.47, 748.17 and 282.20 is: 423.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.47 : 748.17 = 282.20 : x
  2. Step 2: Convert to fraction form
    498.47/748.17 = 282.20/x
  3. Step 3: Cross multiply
    498.47x = 748.17 × 282.20
  4. Step 4: Simplify right side
    498.47x = 211,129.83
  5. Step 5: Solve for x
    x = 211,129.83/498.47
  6. Step 6: Final answer
    x = 423.56

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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.