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Finding the Fourth Proportional to 299.46, 413.60 and 295.82

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Solution

The fourth proportional to 299.46, 413.60 and 295.82 is: 408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.46 : 413.60 = 295.82 : x
  2. Step 2: Convert to fraction form
    299.46/413.60 = 295.82/x
  3. Step 3: Cross multiply
    299.46x = 413.60 × 295.82
  4. Step 4: Simplify right side
    299.46x = 122,351.15
  5. Step 5: Solve for x
    x = 122,351.15/299.46
  6. Step 6: Final answer
    x = 408.57

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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.