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Finding the Fourth Proportional to 520.82, 781.40 and 196.23

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Solution

The fourth proportional to 520.82, 781.40 and 196.23 is: 294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.82 : 781.40 = 196.23 : x
  2. Step 2: Convert to fraction form
    520.82/781.40 = 196.23/x
  3. Step 3: Cross multiply
    520.82x = 781.40 × 196.23
  4. Step 4: Simplify right side
    520.82x = 153,334.61
  5. Step 5: Solve for x
    x = 153,334.61/520.82
  6. Step 6: Final answer
    x = 294.41

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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.