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Finding the Fourth Proportional to 498.28, 749.02 and 472.68

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Solution

The fourth proportional to 498.28, 749.02 and 472.68 is: 710.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.28 : 749.02 = 472.68 : x
  2. Step 2: Convert to fraction form
    498.28/749.02 = 472.68/x
  3. Step 3: Cross multiply
    498.28x = 749.02 × 472.68
  4. Step 4: Simplify right side
    498.28x = 354,046.77
  5. Step 5: Solve for x
    x = 354,046.77/498.28
  6. Step 6: Final answer
    x = 710.54

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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.