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Finding the Fourth Proportional to 458.67, 688.17 and 286.44

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Solution

The fourth proportional to 458.67, 688.17 and 286.44 is: 429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.67 : 688.17 = 286.44 : x
  2. Step 2: Convert to fraction form
    458.67/688.17 = 286.44/x
  3. Step 3: Cross multiply
    458.67x = 688.17 × 286.44
  4. Step 4: Simplify right side
    458.67x = 197,119.41
  5. Step 5: Solve for x
    x = 197,119.41/458.67
  6. Step 6: Final answer
    x = 429.76

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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.