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Finding the Fourth Proportional to 428.58, 642.42 and 197.28

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Solution

The fourth proportional to 428.58, 642.42 and 197.28 is: 295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.58 : 642.42 = 197.28 : x
  2. Step 2: Convert to fraction form
    428.58/642.42 = 197.28/x
  3. Step 3: Cross multiply
    428.58x = 642.42 × 197.28
  4. Step 4: Simplify right side
    428.58x = 126,736.62
  5. Step 5: Solve for x
    x = 126,736.62/428.58
  6. Step 6: Final answer
    x = 295.71

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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.