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Finding the Fourth Proportional to 721.21, 1,081.74 and 331.09

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Solution

The fourth proportional to 721.21, 1,081.74 and 331.09 is: 496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.21 : 1,081.74 = 331.09 : x
  2. Step 2: Convert to fraction form
    721.21/1,081.74 = 331.09/x
  3. Step 3: Cross multiply
    721.21x = 1,081.74 × 331.09
  4. Step 4: Simplify right side
    721.21x = 358,153.30
  5. Step 5: Solve for x
    x = 358,153.30/721.21
  6. Step 6: Final answer
    x = 496.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.