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Finding the Fourth Proportional to 498.70, 747.93 and 209.86

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Solution

The fourth proportional to 498.70, 747.93 and 209.86 is: 314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.70 : 747.93 = 209.86 : x
  2. Step 2: Convert to fraction form
    498.70/747.93 = 209.86/x
  3. Step 3: Cross multiply
    498.70x = 747.93 × 209.86
  4. Step 4: Simplify right side
    498.70x = 156,960.59
  5. Step 5: Solve for x
    x = 156,960.59/498.70
  6. Step 6: Final answer
    x = 314.74

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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.