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Finding the Fourth Proportional to 498.14, 747.27 and 209.54

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Solution

The fourth proportional to 498.14, 747.27 and 209.54 is: 314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.14 : 747.27 = 209.54 : x
  2. Step 2: Convert to fraction form
    498.14/747.27 = 209.54/x
  3. Step 3: Cross multiply
    498.14x = 747.27 × 209.54
  4. Step 4: Simplify right side
    498.14x = 156,582.96
  5. Step 5: Solve for x
    x = 156,582.96/498.14
  6. Step 6: Final answer
    x = 314.34

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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.