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Finding the Fourth Proportional to 409.97, 565.75 and 244.26

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Solution

The fourth proportional to 409.97, 565.75 and 244.26 is: 337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.97 : 565.75 = 244.26 : x
  2. Step 2: Convert to fraction form
    409.97/565.75 = 244.26/x
  3. Step 3: Cross multiply
    409.97x = 565.75 × 244.26
  4. Step 4: Simplify right side
    409.97x = 138,188.87
  5. Step 5: Solve for x
    x = 138,188.87/409.97
  6. Step 6: Final answer
    x = 337.07

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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.