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Finding the Fourth Proportional to 521.20, 781.97 and 213.31

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Solution

The fourth proportional to 521.20, 781.97 and 213.31 is: 320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.20 : 781.97 = 213.31 : x
  2. Step 2: Convert to fraction form
    521.20/781.97 = 213.31/x
  3. Step 3: Cross multiply
    521.20x = 781.97 × 213.31
  4. Step 4: Simplify right side
    521.20x = 166,802.02
  5. Step 5: Solve for x
    x = 166,802.02/521.20
  6. Step 6: Final answer
    x = 320.03

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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.