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Finding the Fourth Proportional to 293.97, 443.17 and 274.16

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Solution

The fourth proportional to 293.97, 443.17 and 274.16 is: 413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.97 : 443.17 = 274.16 : x
  2. Step 2: Convert to fraction form
    293.97/443.17 = 274.16/x
  3. Step 3: Cross multiply
    293.97x = 443.17 × 274.16
  4. Step 4: Simplify right side
    293.97x = 121,495.90
  5. Step 5: Solve for x
    x = 121,495.90/293.97
  6. Step 6: Final answer
    x = 413.29

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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.