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Finding the Fourth Proportional to 572.41, 789.15 and 489.16

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Solution

The fourth proportional to 572.41, 789.15 and 489.16 is: 674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.41 : 789.15 = 489.16 : x
  2. Step 2: Convert to fraction form
    572.41/789.15 = 489.16/x
  3. Step 3: Cross multiply
    572.41x = 789.15 × 489.16
  4. Step 4: Simplify right side
    572.41x = 386,020.61
  5. Step 5: Solve for x
    x = 386,020.61/572.41
  6. Step 6: Final answer
    x = 674.38

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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.