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Finding the Fourth Proportional to 427.64, 641.07 and 196.56

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Solution

The fourth proportional to 427.64, 641.07 and 196.56 is: 294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.64 : 641.07 = 196.56 : x
  2. Step 2: Convert to fraction form
    427.64/641.07 = 196.56/x
  3. Step 3: Cross multiply
    427.64x = 641.07 × 196.56
  4. Step 4: Simplify right side
    427.64x = 126,008.72
  5. Step 5: Solve for x
    x = 126,008.72/427.64
  6. Step 6: Final answer
    x = 294.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.