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Finding the Fourth Proportional to 457.70, 686.36 and 197.56

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Solution

The fourth proportional to 457.70, 686.36 and 197.56 is: 296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.70 : 686.36 = 197.56 : x
  2. Step 2: Convert to fraction form
    457.70/686.36 = 197.56/x
  3. Step 3: Cross multiply
    457.70x = 686.36 × 197.56
  4. Step 4: Simplify right side
    457.70x = 135,597.28
  5. Step 5: Solve for x
    x = 135,597.28/457.70
  6. Step 6: Final answer
    x = 296.26

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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.