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Finding the Fourth Proportional to 542.97, 814.25 and 234.77

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Solution

The fourth proportional to 542.97, 814.25 and 234.77 is: 352.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.97 : 814.25 = 234.77 : x
  2. Step 2: Convert to fraction form
    542.97/814.25 = 234.77/x
  3. Step 3: Cross multiply
    542.97x = 814.25 × 234.77
  4. Step 4: Simplify right side
    542.97x = 191,157.99
  5. Step 5: Solve for x
    x = 191,157.99/542.97
  6. Step 6: Final answer
    x = 352.06

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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.