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Finding the Fourth Proportional to 676.70, 932.76 and 489.92

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Solution

The fourth proportional to 676.70, 932.76 and 489.92 is: 675.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.70 : 932.76 = 489.92 : x
  2. Step 2: Convert to fraction form
    676.70/932.76 = 489.92/x
  3. Step 3: Cross multiply
    676.70x = 932.76 × 489.92
  4. Step 4: Simplify right side
    676.70x = 456,977.78
  5. Step 5: Solve for x
    x = 456,977.78/676.70
  6. Step 6: Final answer
    x = 675.30

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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.