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Finding the Fourth Proportional to 521.01, 781.85 and 196.41

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Solution

The fourth proportional to 521.01, 781.85 and 196.41 is: 294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.01 : 781.85 = 196.41 : x
  2. Step 2: Convert to fraction form
    521.01/781.85 = 196.41/x
  3. Step 3: Cross multiply
    521.01x = 781.85 × 196.41
  4. Step 4: Simplify right side
    521.01x = 153,563.16
  5. Step 5: Solve for x
    x = 153,563.16/521.01
  6. Step 6: Final answer
    x = 294.74

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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.