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Finding the Fourth Proportional to 665.28, 997.92 and 280.56

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Solution

The fourth proportional to 665.28, 997.92 and 280.56 is: 420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.28 : 997.92 = 280.56 : x
  2. Step 2: Convert to fraction form
    665.28/997.92 = 280.56/x
  3. Step 3: Cross multiply
    665.28x = 997.92 × 280.56
  4. Step 4: Simplify right side
    665.28x = 279,976.44
  5. Step 5: Solve for x
    x = 279,976.44/665.28
  6. Step 6: Final answer
    x = 420.84

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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.