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Finding the Fourth Proportional to 299.59, 413.63 and 216.97

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Solution

The fourth proportional to 299.59, 413.63 and 216.97 is: 299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.59 : 413.63 = 216.97 : x
  2. Step 2: Convert to fraction form
    299.59/413.63 = 216.97/x
  3. Step 3: Cross multiply
    299.59x = 413.63 × 216.97
  4. Step 4: Simplify right side
    299.59x = 89,745.30
  5. Step 5: Solve for x
    x = 89,745.30/299.59
  6. Step 6: Final answer
    x = 299.56

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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.