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Finding the Fourth Proportional to 521.59, 782.49 and 196.96

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Solution

The fourth proportional to 521.59, 782.49 and 196.96 is: 295.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.59 : 782.49 = 196.96 : x
  2. Step 2: Convert to fraction form
    521.59/782.49 = 196.96/x
  3. Step 3: Cross multiply
    521.59x = 782.49 × 196.96
  4. Step 4: Simplify right side
    521.59x = 154,119.23
  5. Step 5: Solve for x
    x = 154,119.23/521.59
  6. Step 6: Final answer
    x = 295.48

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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.