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Finding the Fourth Proportional to 542.41, 748.62 and 408.49

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Solution

The fourth proportional to 542.41, 748.62 and 408.49 is: 563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.41 : 748.62 = 408.49 : x
  2. Step 2: Convert to fraction form
    542.41/748.62 = 408.49/x
  3. Step 3: Cross multiply
    542.41x = 748.62 × 408.49
  4. Step 4: Simplify right side
    542.41x = 305,803.78
  5. Step 5: Solve for x
    x = 305,803.78/542.41
  6. Step 6: Final answer
    x = 563.79

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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.