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Finding the Fourth Proportional to 521.49, 782.09 and 196.79

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Solution

The fourth proportional to 521.49, 782.09 and 196.79 is: 295.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.49 : 782.09 = 196.79 : x
  2. Step 2: Convert to fraction form
    521.49/782.09 = 196.79/x
  3. Step 3: Cross multiply
    521.49x = 782.09 × 196.79
  4. Step 4: Simplify right side
    521.49x = 153,903.33
  5. Step 5: Solve for x
    x = 153,903.33/521.49
  6. Step 6: Final answer
    x = 295.12

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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.