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Finding the Fourth Proportional to 297.26, 410.05 and 276.41

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Solution

The fourth proportional to 297.26, 410.05 and 276.41 is: 381.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.26 : 410.05 = 276.41 : x
  2. Step 2: Convert to fraction form
    297.26/410.05 = 276.41/x
  3. Step 3: Cross multiply
    297.26x = 410.05 × 276.41
  4. Step 4: Simplify right side
    297.26x = 113,341.92
  5. Step 5: Solve for x
    x = 113,341.92/297.26
  6. Step 6: Final answer
    x = 381.29

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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.