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Finding the Fourth Proportional to 542.31, 812.78 and 233.85

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Solution

The fourth proportional to 542.31, 812.78 and 233.85 is: 350.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.31 : 812.78 = 233.85 : x
  2. Step 2: Convert to fraction form
    542.31/812.78 = 233.85/x
  3. Step 3: Cross multiply
    542.31x = 812.78 × 233.85
  4. Step 4: Simplify right side
    542.31x = 190,067.43
  5. Step 5: Solve for x
    x = 190,067.43/542.31
  6. Step 6: Final answer
    x = 350.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.