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Finding the Fourth Proportional to 723.87, 997.97 and 490.59

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Solution

The fourth proportional to 723.87, 997.97 and 490.59 is: 676.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.87 : 997.97 = 490.59 : x
  2. Step 2: Convert to fraction form
    723.87/997.97 = 490.59/x
  3. Step 3: Cross multiply
    723.87x = 997.97 × 490.59
  4. Step 4: Simplify right side
    723.87x = 489,591.65
  5. Step 5: Solve for x
    x = 489,591.65/723.87
  6. Step 6: Final answer
    x = 676.35

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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.