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Finding the Fourth Proportional to 428.09, 641.91 and 196.78

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Solution

The fourth proportional to 428.09, 641.91 and 196.78 is: 295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.09 : 641.91 = 196.78 : x
  2. Step 2: Convert to fraction form
    428.09/641.91 = 196.78/x
  3. Step 3: Cross multiply
    428.09x = 641.91 × 196.78
  4. Step 4: Simplify right side
    428.09x = 126,315.05
  5. Step 5: Solve for x
    x = 126,315.05/428.09
  6. Step 6: Final answer
    x = 295.07

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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.