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Finding the Fourth Proportional to 297.15, 409.10 and 269.82

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Solution

The fourth proportional to 297.15, 409.10 and 269.82 is: 371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.15 : 409.10 = 269.82 : x
  2. Step 2: Convert to fraction form
    297.15/409.10 = 269.82/x
  3. Step 3: Cross multiply
    297.15x = 409.10 × 269.82
  4. Step 4: Simplify right side
    297.15x = 110,382.01
  5. Step 5: Solve for x
    x = 110,382.01/297.15
  6. Step 6: Final answer
    x = 371.47

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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.