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Finding the Fourth Proportional to 427.54, 641.13 and 196.42

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Solution

The fourth proportional to 427.54, 641.13 and 196.42 is: 294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.54 : 641.13 = 196.42 : x
  2. Step 2: Convert to fraction form
    427.54/641.13 = 196.42/x
  3. Step 3: Cross multiply
    427.54x = 641.13 × 196.42
  4. Step 4: Simplify right side
    427.54x = 125,930.75
  5. Step 5: Solve for x
    x = 125,930.75/427.54
  6. Step 6: Final answer
    x = 294.55

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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.