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Finding the Fourth Proportional to 629.04, 868.41 and 408.12

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Solution

The fourth proportional to 629.04, 868.41 and 408.12 is: 563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.04 : 868.41 = 408.12 : x
  2. Step 2: Convert to fraction form
    629.04/868.41 = 408.12/x
  3. Step 3: Cross multiply
    629.04x = 868.41 × 408.12
  4. Step 4: Simplify right side
    629.04x = 354,415.49
  5. Step 5: Solve for x
    x = 354,415.49/629.04
  6. Step 6: Final answer
    x = 563.42

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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.