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Finding the Fourth Proportional to 667.62, 921.36 and 387.96

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Solution

The fourth proportional to 667.62, 921.36 and 387.96 is: 535.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.62 : 921.36 = 387.96 : x
  2. Step 2: Convert to fraction form
    667.62/921.36 = 387.96/x
  3. Step 3: Cross multiply
    667.62x = 921.36 × 387.96
  4. Step 4: Simplify right side
    667.62x = 357,450.83
  5. Step 5: Solve for x
    x = 357,450.83/667.62
  6. Step 6: Final answer
    x = 535.41

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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.