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Finding the Fourth Proportional to 498.12, 747.45 and 209.76

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Solution

The fourth proportional to 498.12, 747.45 and 209.76 is: 314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.12 : 747.45 = 209.76 : x
  2. Step 2: Convert to fraction form
    498.12/747.45 = 209.76/x
  3. Step 3: Cross multiply
    498.12x = 747.45 × 209.76
  4. Step 4: Simplify right side
    498.12x = 156,785.11
  5. Step 5: Solve for x
    x = 156,785.11/498.12
  6. Step 6: Final answer
    x = 314.75

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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.