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Finding the Fourth Proportional to 428.83, 642.38 and 197.40

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Solution

The fourth proportional to 428.83, 642.38 and 197.40 is: 295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.83 : 642.38 = 197.40 : x
  2. Step 2: Convert to fraction form
    428.83/642.38 = 197.40/x
  3. Step 3: Cross multiply
    428.83x = 642.38 × 197.40
  4. Step 4: Simplify right side
    428.83x = 126,804.73
  5. Step 5: Solve for x
    x = 126,804.73/428.83
  6. Step 6: Final answer
    x = 295.70

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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.