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Finding the Fourth Proportional to 274.24, 413.44 and 244.18

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Solution

The fourth proportional to 274.24, 413.44 and 244.18 is: 368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.24 : 413.44 = 244.18 : x
  2. Step 2: Convert to fraction form
    274.24/413.44 = 244.18/x
  3. Step 3: Cross multiply
    274.24x = 413.44 × 244.18
  4. Step 4: Simplify right side
    274.24x = 100,953.78
  5. Step 5: Solve for x
    x = 100,953.78/274.24
  6. Step 6: Final answer
    x = 368.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.