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Finding the Fourth Proportional to 716, 1,072.56 and 349.68

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Solution

The fourth proportional to 716, 1,072.56 and 349.68 is: 523.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    716 : 1,072.56 = 349.68 : x
  2. Step 2: Convert to fraction form
    716/1,072.56 = 349.68/x
  3. Step 3: Cross multiply
    716x = 1,072.56 × 349.68
  4. Step 4: Simplify right side
    716x = 375,052.78
  5. Step 5: Solve for x
    x = 375,052.78/716
  6. Step 6: Final answer
    x = 523.82

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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.