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Finding the Fourth Proportional to 721.76, 996.02 and 442.48

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Solution

The fourth proportional to 721.76, 996.02 and 442.48 is: 610.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.76 : 996.02 = 442.48 : x
  2. Step 2: Convert to fraction form
    721.76/996.02 = 442.48/x
  3. Step 3: Cross multiply
    721.76x = 996.02 × 442.48
  4. Step 4: Simplify right side
    721.76x = 440,718.93
  5. Step 5: Solve for x
    x = 440,718.93/721.76
  6. Step 6: Final answer
    x = 610.62

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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.