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Finding the Fourth Proportional to 716.42, 1,074.76 and 229.42

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Solution

The fourth proportional to 716.42, 1,074.76 and 229.42 is: 344.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.42 : 1,074.76 = 229.42 : x
  2. Step 2: Convert to fraction form
    716.42/1,074.76 = 229.42/x
  3. Step 3: Cross multiply
    716.42x = 1,074.76 × 229.42
  4. Step 4: Simplify right side
    716.42x = 246,571.44
  5. Step 5: Solve for x
    x = 246,571.44/716.42
  6. Step 6: Final answer
    x = 344.17

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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.