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Finding the Fourth Proportional to 542.82, 814.19 and 234.62

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Solution

The fourth proportional to 542.82, 814.19 and 234.62 is: 351.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.82 : 814.19 = 234.62 : x
  2. Step 2: Convert to fraction form
    542.82/814.19 = 234.62/x
  3. Step 3: Cross multiply
    542.82x = 814.19 × 234.62
  4. Step 4: Simplify right side
    542.82x = 191,023.07
  5. Step 5: Solve for x
    x = 191,023.07/542.82
  6. Step 6: Final answer
    x = 351.91

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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.