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Finding the Fourth Proportional to 667.14, 920.58 and 387.38

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Solution

The fourth proportional to 667.14, 920.58 and 387.38 is: 534.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.14 : 920.58 = 387.38 : x
  2. Step 2: Convert to fraction form
    667.14/920.58 = 387.38/x
  3. Step 3: Cross multiply
    667.14x = 920.58 × 387.38
  4. Step 4: Simplify right side
    667.14x = 356,614.28
  5. Step 5: Solve for x
    x = 356,614.28/667.14
  6. Step 6: Final answer
    x = 534.54

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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.