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Finding the Fourth Proportional to 542.44, 748.66 and 355.86

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Solution

The fourth proportional to 542.44, 748.66 and 355.86 is: 491.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.44 : 748.66 = 355.86 : x
  2. Step 2: Convert to fraction form
    542.44/748.66 = 355.86/x
  3. Step 3: Cross multiply
    542.44x = 748.66 × 355.86
  4. Step 4: Simplify right side
    542.44x = 266,418.15
  5. Step 5: Solve for x
    x = 266,418.15/542.44
  6. Step 6: Final answer
    x = 491.15

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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.