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Finding the Fourth Proportional to 667.67, 921.42 and 372.96

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Solution

The fourth proportional to 667.67, 921.42 and 372.96 is: 514.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.67 : 921.42 = 372.96 : x
  2. Step 2: Convert to fraction form
    667.67/921.42 = 372.96/x
  3. Step 3: Cross multiply
    667.67x = 921.42 × 372.96
  4. Step 4: Simplify right side
    667.67x = 343,650.75
  5. Step 5: Solve for x
    x = 343,650.75/667.67
  6. Step 6: Final answer
    x = 514.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.