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Finding the Fourth Proportional to 299.54, 413.24 and 244.51

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Solution

The fourth proportional to 299.54, 413.24 and 244.51 is: 337.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.54 : 413.24 = 244.51 : x
  2. Step 2: Convert to fraction form
    299.54/413.24 = 244.51/x
  3. Step 3: Cross multiply
    299.54x = 413.24 × 244.51
  4. Step 4: Simplify right side
    299.54x = 101,039.06
  5. Step 5: Solve for x
    x = 101,039.06/299.54
  6. Step 6: Final answer
    x = 337.31

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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.