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Finding the Fourth Proportional to 457.80, 686.52 and 197.80

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Solution

The fourth proportional to 457.80, 686.52 and 197.80 is: 296.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.80 : 686.52 = 197.80 : x
  2. Step 2: Convert to fraction form
    457.80/686.52 = 197.80/x
  3. Step 3: Cross multiply
    457.80x = 686.52 × 197.80
  4. Step 4: Simplify right side
    457.80x = 135,793.66
  5. Step 5: Solve for x
    x = 135,793.66/457.80
  6. Step 6: Final answer
    x = 296.62

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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.