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Finding the Fourth Proportional to 426.34, 639.53 and 118.20

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Solution

The fourth proportional to 426.34, 639.53 and 118.20 is: 177.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.34 : 639.53 = 118.20 : x
  2. Step 2: Convert to fraction form
    426.34/639.53 = 118.20/x
  3. Step 3: Cross multiply
    426.34x = 639.53 × 118.20
  4. Step 4: Simplify right side
    426.34x = 75,589.90
  5. Step 5: Solve for x
    x = 75,589.90/426.34
  6. Step 6: Final answer
    x = 177.30

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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.