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Finding the Fourth Proportional to 428.80, 642.68 and 197.37

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Solution

The fourth proportional to 428.80, 642.68 and 197.37 is: 295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.80 : 642.68 = 197.37 : x
  2. Step 2: Convert to fraction form
    428.80/642.68 = 197.37/x
  3. Step 3: Cross multiply
    428.80x = 642.68 × 197.37
  4. Step 4: Simplify right side
    428.80x = 126,845.75
  5. Step 5: Solve for x
    x = 126,845.75/428.80
  6. Step 6: Final answer
    x = 295.82

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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.