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Finding the Fourth Proportional to 347.28, 517.40 and 343.86

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Solution

The fourth proportional to 347.28, 517.40 and 343.86 is: 512.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.28 : 517.40 = 343.86 : x
  2. Step 2: Convert to fraction form
    347.28/517.40 = 343.86/x
  3. Step 3: Cross multiply
    347.28x = 517.40 × 343.86
  4. Step 4: Simplify right side
    347.28x = 177,913.16
  5. Step 5: Solve for x
    x = 177,913.16/347.28
  6. Step 6: Final answer
    x = 512.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.