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Finding the Fourth Proportional to 629.20, 867.81 and 408.22

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Solution

The fourth proportional to 629.20, 867.81 and 408.22 is: 563.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.20 : 867.81 = 408.22 : x
  2. Step 2: Convert to fraction form
    629.20/867.81 = 408.22/x
  3. Step 3: Cross multiply
    629.20x = 867.81 × 408.22
  4. Step 4: Simplify right side
    629.20x = 354,257.40
  5. Step 5: Solve for x
    x = 354,257.40/629.20
  6. Step 6: Final answer
    x = 563.03

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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.