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Finding the Fourth Proportional to 458.08, 686.76 and 197.87

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Solution

The fourth proportional to 458.08, 686.76 and 197.87 is: 296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.08 : 686.76 = 197.87 : x
  2. Step 2: Convert to fraction form
    458.08/686.76 = 197.87/x
  3. Step 3: Cross multiply
    458.08x = 686.76 × 197.87
  4. Step 4: Simplify right side
    458.08x = 135,885.77
  5. Step 5: Solve for x
    x = 135,885.77/458.08
  6. Step 6: Final answer
    x = 296.64

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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.