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Finding the Fourth Proportional to 667.27, 920.80 and 372.57

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Solution

The fourth proportional to 667.27, 920.80 and 372.57 is: 514.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.27 : 920.80 = 372.57 : x
  2. Step 2: Convert to fraction form
    667.27/920.80 = 372.57/x
  3. Step 3: Cross multiply
    667.27x = 920.80 × 372.57
  4. Step 4: Simplify right side
    667.27x = 343,062.46
  5. Step 5: Solve for x
    x = 343,062.46/667.27
  6. Step 6: Final answer
    x = 514.13

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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.