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Finding the Fourth Proportional to 542.59, 748.77 and 293.91

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Solution

The fourth proportional to 542.59, 748.77 and 293.91 is: 405.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.59 : 748.77 = 293.91 : x
  2. Step 2: Convert to fraction form
    542.59/748.77 = 293.91/x
  3. Step 3: Cross multiply
    542.59x = 748.77 × 293.91
  4. Step 4: Simplify right side
    542.59x = 220,067.25
  5. Step 5: Solve for x
    x = 220,067.25/542.59
  6. Step 6: Final answer
    x = 405.59

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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.