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Finding the Fourth Proportional to 428.02, 642.06 and 196.90

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Solution

The fourth proportional to 428.02, 642.06 and 196.90 is: 295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.02 : 642.06 = 196.90 : x
  2. Step 2: Convert to fraction form
    428.02/642.06 = 196.90/x
  3. Step 3: Cross multiply
    428.02x = 642.06 × 196.90
  4. Step 4: Simplify right side
    428.02x = 126,421.61
  5. Step 5: Solve for x
    x = 126,421.61/428.02
  6. Step 6: Final answer
    x = 295.36

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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.