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Finding the Fourth Proportional to 299.59, 413.37 and 229.73

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Solution

The fourth proportional to 299.59, 413.37 and 229.73 is: 316.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.59 : 413.37 = 229.73 : x
  2. Step 2: Convert to fraction form
    299.59/413.37 = 229.73/x
  3. Step 3: Cross multiply
    299.59x = 413.37 × 229.73
  4. Step 4: Simplify right side
    299.59x = 94,961.42
  5. Step 5: Solve for x
    x = 94,961.42/299.59
  6. Step 6: Final answer
    x = 316.97

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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.