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Finding the Fourth Proportional to 428.25, 642.38 and 196.44

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Solution

The fourth proportional to 428.25, 642.38 and 196.44 is: 294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.25 : 642.38 = 196.44 : x
  2. Step 2: Convert to fraction form
    428.25/642.38 = 196.44/x
  3. Step 3: Cross multiply
    428.25x = 642.38 × 196.44
  4. Step 4: Simplify right side
    428.25x = 126,188.15
  5. Step 5: Solve for x
    x = 126,188.15/428.25
  6. Step 6: Final answer
    x = 294.66

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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.