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Finding the Fourth Proportional to 542.25, 814.41 and 520.07

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Solution

The fourth proportional to 542.25, 814.41 and 520.07 is: 781.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.25 : 814.41 = 520.07 : x
  2. Step 2: Convert to fraction form
    542.25/814.41 = 520.07/x
  3. Step 3: Cross multiply
    542.25x = 814.41 × 520.07
  4. Step 4: Simplify right side
    542.25x = 423,546.14
  5. Step 5: Solve for x
    x = 423,546.14/542.25
  6. Step 6: Final answer
    x = 781.09

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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.