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Finding the Fourth Proportional to 299.94, 413.97 and 286.26

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Solution

The fourth proportional to 299.94, 413.97 and 286.26 is: 395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.94 : 413.97 = 286.26 : x
  2. Step 2: Convert to fraction form
    299.94/413.97 = 286.26/x
  3. Step 3: Cross multiply
    299.94x = 413.97 × 286.26
  4. Step 4: Simplify right side
    299.94x = 118,503.05
  5. Step 5: Solve for x
    x = 118,503.05/299.94
  6. Step 6: Final answer
    x = 395.09

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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.