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Finding the Fourth Proportional to 542.41, 748.27 and 343.15

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Solution

The fourth proportional to 542.41, 748.27 and 343.15 is: 473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.41 : 748.27 = 343.15 : x
  2. Step 2: Convert to fraction form
    542.41/748.27 = 343.15/x
  3. Step 3: Cross multiply
    542.41x = 748.27 × 343.15
  4. Step 4: Simplify right side
    542.41x = 256,767.41
  5. Step 5: Solve for x
    x = 256,767.41/542.41
  6. Step 6: Final answer
    x = 473.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.