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Finding the Fourth Proportional to 299.65, 413.10 and 233.05

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Solution

The fourth proportional to 299.65, 413.10 and 233.05 is: 321.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.65 : 413.10 = 233.05 : x
  2. Step 2: Convert to fraction form
    299.65/413.10 = 233.05/x
  3. Step 3: Cross multiply
    299.65x = 413.10 × 233.05
  4. Step 4: Simplify right side
    299.65x = 96,273.86
  5. Step 5: Solve for x
    x = 96,273.86/299.65
  6. Step 6: Final answer
    x = 321.29

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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.