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Finding the Fourth Proportional to 498.40, 747.66 and 209.84

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Solution

The fourth proportional to 498.40, 747.66 and 209.84 is: 314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.40 : 747.66 = 209.84 : x
  2. Step 2: Convert to fraction form
    498.40/747.66 = 209.84/x
  3. Step 3: Cross multiply
    498.40x = 747.66 × 209.84
  4. Step 4: Simplify right side
    498.40x = 156,888.97
  5. Step 5: Solve for x
    x = 156,888.97/498.40
  6. Step 6: Final answer
    x = 314.79

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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.