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Finding the Fourth Proportional to 605.53, 908.54 and 240.22

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Solution

The fourth proportional to 605.53, 908.54 and 240.22 is: 360.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.53 : 908.54 = 240.22 : x
  2. Step 2: Convert to fraction form
    605.53/908.54 = 240.22/x
  3. Step 3: Cross multiply
    605.53x = 908.54 × 240.22
  4. Step 4: Simplify right side
    605.53x = 218,249.48
  5. Step 5: Solve for x
    x = 218,249.48/605.53
  6. Step 6: Final answer
    x = 360.43

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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.