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Finding the Fourth Proportional to 542.84, 814.21 and 265.28

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Solution

The fourth proportional to 542.84, 814.21 and 265.28 is: 397.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.84 : 814.21 = 265.28 : x
  2. Step 2: Convert to fraction form
    542.84/814.21 = 265.28/x
  3. Step 3: Cross multiply
    542.84x = 814.21 × 265.28
  4. Step 4: Simplify right side
    542.84x = 215,989.56
  5. Step 5: Solve for x
    x = 215,989.56/542.84
  6. Step 6: Final answer
    x = 397.89

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