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Finding the Fourth Proportional to 489.11, 671.38 and 432.61

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Solution

The fourth proportional to 489.11, 671.38 and 432.61 is: 593.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.11 : 671.38 = 432.61 : x
  2. Step 2: Convert to fraction form
    489.11/671.38 = 432.61/x
  3. Step 3: Cross multiply
    489.11x = 671.38 × 432.61
  4. Step 4: Simplify right side
    489.11x = 290,445.70
  5. Step 5: Solve for x
    x = 290,445.70/489.11
  6. Step 6: Final answer
    x = 593.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.