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Finding the Fourth Proportional to 297.41, 409.25 and 255.80

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Solution

The fourth proportional to 297.41, 409.25 and 255.80 is: 351.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.41 : 409.25 = 255.80 : x
  2. Step 2: Convert to fraction form
    297.41/409.25 = 255.80/x
  3. Step 3: Cross multiply
    297.41x = 409.25 × 255.80
  4. Step 4: Simplify right side
    297.41x = 104,682.82
  5. Step 5: Solve for x
    x = 104,682.82/297.41
  6. Step 6: Final answer
    x = 351.99

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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.