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Finding the Fourth Proportional to 671.43, 1,007.12 and 363.88

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Solution

The fourth proportional to 671.43, 1,007.12 and 363.88 is: 545.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.43 : 1,007.12 = 363.88 : x
  2. Step 2: Convert to fraction form
    671.43/1,007.12 = 363.88/x
  3. Step 3: Cross multiply
    671.43x = 1,007.12 × 363.88
  4. Step 4: Simplify right side
    671.43x = 366,470.83
  5. Step 5: Solve for x
    x = 366,470.83/671.43
  6. Step 6: Final answer
    x = 545.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.