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Finding the Fourth Proportional to 716.36, 1,074.59 and 229.76

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Solution

The fourth proportional to 716.36, 1,074.59 and 229.76 is: 344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.36 : 1,074.59 = 229.76 : x
  2. Step 2: Convert to fraction form
    716.36/1,074.59 = 229.76/x
  3. Step 3: Cross multiply
    716.36x = 1,074.59 × 229.76
  4. Step 4: Simplify right side
    716.36x = 246,891.28
  5. Step 5: Solve for x
    x = 246,891.28/716.36
  6. Step 6: Final answer
    x = 344.65

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Why These Related Problems?

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