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Finding the Fourth Proportional to 605.75, 908.04 and 331.46

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Solution

The fourth proportional to 605.75, 908.04 and 331.46 is: 496.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.75 : 908.04 = 331.46 : x
  2. Step 2: Convert to fraction form
    605.75/908.04 = 331.46/x
  3. Step 3: Cross multiply
    605.75x = 908.04 × 331.46
  4. Step 4: Simplify right side
    605.75x = 300,979.05
  5. Step 5: Solve for x
    x = 300,979.05/605.75
  6. Step 6: Final answer
    x = 496.87

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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.