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Finding the Fourth Proportional to 457.19, 686.27 and 197.32

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Solution

The fourth proportional to 457.19, 686.27 and 197.32 is: 296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.19 : 686.27 = 197.32 : x
  2. Step 2: Convert to fraction form
    457.19/686.27 = 197.32/x
  3. Step 3: Cross multiply
    457.19x = 686.27 × 197.32
  4. Step 4: Simplify right side
    457.19x = 135,410.38
  5. Step 5: Solve for x
    x = 135,410.38/457.19
  6. Step 6: Final answer
    x = 296.18

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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.