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Finding the Fourth Proportional to 428.25, 642.42 and 139.69

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Solution

The fourth proportional to 428.25, 642.42 and 139.69 is: 209.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.25 : 642.42 = 139.69 : x
  2. Step 2: Convert to fraction form
    428.25/642.42 = 139.69/x
  3. Step 3: Cross multiply
    428.25x = 642.42 × 139.69
  4. Step 4: Simplify right side
    428.25x = 89,738.04
  5. Step 5: Solve for x
    x = 89,738.04/428.25
  6. Step 6: Final answer
    x = 209.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.