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Finding the Fourth Proportional to 457.83, 686.17 and 197.53

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Solution

The fourth proportional to 457.83, 686.17 and 197.53 is: 296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.83 : 686.17 = 197.53 : x
  2. Step 2: Convert to fraction form
    457.83/686.17 = 197.53/x
  3. Step 3: Cross multiply
    457.83x = 686.17 × 197.53
  4. Step 4: Simplify right side
    457.83x = 135,538.17
  5. Step 5: Solve for x
    x = 135,538.17/457.83
  6. Step 6: Final answer
    x = 296.05

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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.