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Finding the Fourth Proportional to 667.44, 998.65 and 462.41

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Solution

The fourth proportional to 667.44, 998.65 and 462.41 is: 691.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.44 : 998.65 = 462.41 : x
  2. Step 2: Convert to fraction form
    667.44/998.65 = 462.41/x
  3. Step 3: Cross multiply
    667.44x = 998.65 × 462.41
  4. Step 4: Simplify right side
    667.44x = 461,778.44
  5. Step 5: Solve for x
    x = 461,778.44/667.44
  6. Step 6: Final answer
    x = 691.87

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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.