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Finding the Fourth Proportional to 667.53, 921.20 and 372.80

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Solution

The fourth proportional to 667.53, 921.20 and 372.80 is: 514.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.53 : 921.20 = 372.80 : x
  2. Step 2: Convert to fraction form
    667.53/921.20 = 372.80/x
  3. Step 3: Cross multiply
    667.53x = 921.20 × 372.80
  4. Step 4: Simplify right side
    667.53x = 343,416.89
  5. Step 5: Solve for x
    x = 343,416.89/667.53
  6. Step 6: Final answer
    x = 514.46

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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.