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Finding the Fourth Proportional to 489.97, 676.06 and 293.41

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Solution

The fourth proportional to 489.97, 676.06 and 293.41 is: 404.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.97 : 676.06 = 293.41 : x
  2. Step 2: Convert to fraction form
    489.97/676.06 = 293.41/x
  3. Step 3: Cross multiply
    489.97x = 676.06 × 293.41
  4. Step 4: Simplify right side
    489.97x = 198,362.76
  5. Step 5: Solve for x
    x = 198,362.76/489.97
  6. Step 6: Final answer
    x = 404.85

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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.