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Finding the Fourth Proportional to 676.33, 932.23 and 489.55

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Solution

The fourth proportional to 676.33, 932.23 and 489.55 is: 674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.33 : 932.23 = 489.55 : x
  2. Step 2: Convert to fraction form
    676.33/932.23 = 489.55/x
  3. Step 3: Cross multiply
    676.33x = 932.23 × 489.55
  4. Step 4: Simplify right side
    676.33x = 456,373.20
  5. Step 5: Solve for x
    x = 456,373.20/676.33
  6. Step 6: Final answer
    x = 674.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.