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Finding the Fourth Proportional to 605.68, 908.82 and 280.97

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Solution

The fourth proportional to 605.68, 908.82 and 280.97 is: 421.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.68 : 908.82 = 280.97 : x
  2. Step 2: Convert to fraction form
    605.68/908.82 = 280.97/x
  3. Step 3: Cross multiply
    605.68x = 908.82 × 280.97
  4. Step 4: Simplify right side
    605.68x = 255,350.02
  5. Step 5: Solve for x
    x = 255,350.02/605.68
  6. Step 6: Final answer
    x = 421.59

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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.