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Finding the Fourth Proportional to 299.78, 413.06 and 229.83

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Solution

The fourth proportional to 299.78, 413.06 and 229.83 is: 316.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.78 : 413.06 = 229.83 : x
  2. Step 2: Convert to fraction form
    299.78/413.06 = 229.83/x
  3. Step 3: Cross multiply
    299.78x = 413.06 × 229.83
  4. Step 4: Simplify right side
    299.78x = 94,932.43
  5. Step 5: Solve for x
    x = 94,932.43/299.78
  6. Step 6: Final answer
    x = 316.68

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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.