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Finding the Fourth Proportional to 497.88, 747.20 and 209.52

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Solution

The fourth proportional to 497.88, 747.20 and 209.52 is: 314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.88 : 747.20 = 209.52 : x
  2. Step 2: Convert to fraction form
    497.88/747.20 = 209.52/x
  3. Step 3: Cross multiply
    497.88x = 747.20 × 209.52
  4. Step 4: Simplify right side
    497.88x = 156,553.34
  5. Step 5: Solve for x
    x = 156,553.34/497.88
  6. Step 6: Final answer
    x = 314.44

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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.