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Finding the Fourth Proportional to 721.89, 996.03 and 460.26

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Solution

The fourth proportional to 721.89, 996.03 and 460.26 is: 635.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.89 : 996.03 = 460.26 : x
  2. Step 2: Convert to fraction form
    721.89/996.03 = 460.26/x
  3. Step 3: Cross multiply
    721.89x = 996.03 × 460.26
  4. Step 4: Simplify right side
    721.89x = 458,432.77
  5. Step 5: Solve for x
    x = 458,432.77/721.89
  6. Step 6: Final answer
    x = 635.05

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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.