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Finding the Fourth Proportional to 667.53, 921.15 and 372.83

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Solution

The fourth proportional to 667.53, 921.15 and 372.83 is: 514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.53 : 921.15 = 372.83 : x
  2. Step 2: Convert to fraction form
    667.53/921.15 = 372.83/x
  3. Step 3: Cross multiply
    667.53x = 921.15 × 372.83
  4. Step 4: Simplify right side
    667.53x = 343,427.75
  5. Step 5: Solve for x
    x = 343,427.75/667.53
  6. Step 6: Final answer
    x = 514.48

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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.