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Finding the Fourth Proportional to 426.72, 639.76 and 170.16

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Solution

The fourth proportional to 426.72, 639.76 and 170.16 is: 255.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.72 : 639.76 = 170.16 : x
  2. Step 2: Convert to fraction form
    426.72/639.76 = 170.16/x
  3. Step 3: Cross multiply
    426.72x = 639.76 × 170.16
  4. Step 4: Simplify right side
    426.72x = 108,861.56
  5. Step 5: Solve for x
    x = 108,861.56/426.72
  6. Step 6: Final answer
    x = 255.11

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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.