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Finding the Fourth Proportional to 676.92, 932.22 and 489.96

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Solution

The fourth proportional to 676.92, 932.22 and 489.96 is: 674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.92 : 932.22 = 489.96 : x
  2. Step 2: Convert to fraction form
    676.92/932.22 = 489.96/x
  3. Step 3: Cross multiply
    676.92x = 932.22 × 489.96
  4. Step 4: Simplify right side
    676.92x = 456,750.51
  5. Step 5: Solve for x
    x = 456,750.51/676.92
  6. Step 6: Final answer
    x = 674.75

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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.