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Finding the Fourth Proportional to 299.43, 413.05 and 204.82

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Solution

The fourth proportional to 299.43, 413.05 and 204.82 is: 282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.43 : 413.05 = 204.82 : x
  2. Step 2: Convert to fraction form
    299.43/413.05 = 204.82/x
  3. Step 3: Cross multiply
    299.43x = 413.05 × 204.82
  4. Step 4: Simplify right side
    299.43x = 84,600.90
  5. Step 5: Solve for x
    x = 84,600.90/299.43
  6. Step 6: Final answer
    x = 282.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.