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Finding the Fourth Proportional to 716.22, 1,074.39 and 229.17

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Solution

The fourth proportional to 716.22, 1,074.39 and 229.17 is: 343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.22 : 1,074.39 = 229.17 : x
  2. Step 2: Convert to fraction form
    716.22/1,074.39 = 229.17/x
  3. Step 3: Cross multiply
    716.22x = 1,074.39 × 229.17
  4. Step 4: Simplify right side
    716.22x = 246,217.96
  5. Step 5: Solve for x
    x = 246,217.96/716.22
  6. Step 6: Final answer
    x = 343.77

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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.