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Finding the Fourth Proportional to 605.85, 908.81 and 240.54

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Solution

The fourth proportional to 605.85, 908.81 and 240.54 is: 360.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.85 : 908.81 = 240.54 : x
  2. Step 2: Convert to fraction form
    605.85/908.81 = 240.54/x
  3. Step 3: Cross multiply
    605.85x = 908.81 × 240.54
  4. Step 4: Simplify right side
    605.85x = 218,605.16
  5. Step 5: Solve for x
    x = 218,605.16/605.85
  6. Step 6: Final answer
    x = 360.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.