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Finding the Fourth Proportional to 428.42, 642.14 and 197.34

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Solution

The fourth proportional to 428.42, 642.14 and 197.34 is: 295.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.42 : 642.14 = 197.34 : x
  2. Step 2: Convert to fraction form
    428.42/642.14 = 197.34/x
  3. Step 3: Cross multiply
    428.42x = 642.14 × 197.34
  4. Step 4: Simplify right side
    428.42x = 126,718.92
  5. Step 5: Solve for x
    x = 126,718.92/428.42
  6. Step 6: Final answer
    x = 295.79

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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.