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Finding the Fourth Proportional to 542.64, 814.28 and 230.27

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Solution

The fourth proportional to 542.64, 814.28 and 230.27 is: 345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.64 : 814.28 = 230.27 : x
  2. Step 2: Convert to fraction form
    542.64/814.28 = 230.27/x
  3. Step 3: Cross multiply
    542.64x = 814.28 × 230.27
  4. Step 4: Simplify right side
    542.64x = 187,504.26
  5. Step 5: Solve for x
    x = 187,504.26/542.64
  6. Step 6: Final answer
    x = 345.54

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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.