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Finding the Fourth Proportional to 542.45, 814.01 and 265.48

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Solution

The fourth proportional to 542.45, 814.01 and 265.48 is: 398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.45 : 814.01 = 265.48 : x
  2. Step 2: Convert to fraction form
    542.45/814.01 = 265.48/x
  3. Step 3: Cross multiply
    542.45x = 814.01 × 265.48
  4. Step 4: Simplify right side
    542.45x = 216,100.01
  5. Step 5: Solve for x
    x = 216,100.01/542.45
  6. Step 6: Final answer
    x = 398.38

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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.