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Finding the Fourth Proportional to 297.17, 409.67 and 247.97

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Solution

The fourth proportional to 297.17, 409.67 and 247.97 is: 341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.17 : 409.67 = 247.97 : x
  2. Step 2: Convert to fraction form
    297.17/409.67 = 247.97/x
  3. Step 3: Cross multiply
    297.17x = 409.67 × 247.97
  4. Step 4: Simplify right side
    297.17x = 101,585.87
  5. Step 5: Solve for x
    x = 101,585.87/297.17
  6. Step 6: Final answer
    x = 341.84

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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.