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Finding the Fourth Proportional to 609.26, 839.43 and 412.43

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Solution

The fourth proportional to 609.26, 839.43 and 412.43 is: 568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.26 : 839.43 = 412.43 : x
  2. Step 2: Convert to fraction form
    609.26/839.43 = 412.43/x
  3. Step 3: Cross multiply
    609.26x = 839.43 × 412.43
  4. Step 4: Simplify right side
    609.26x = 346,201.92
  5. Step 5: Solve for x
    x = 346,201.92/609.26
  6. Step 6: Final answer
    x = 568.24

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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.