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Finding the Fourth Proportional to 629.43, 868.32 and 408.47

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Solution

The fourth proportional to 629.43, 868.32 and 408.47 is: 563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.43 : 868.32 = 408.47 : x
  2. Step 2: Convert to fraction form
    629.43/868.32 = 408.47/x
  3. Step 3: Cross multiply
    629.43x = 868.32 × 408.47
  4. Step 4: Simplify right side
    629.43x = 354,678.33
  5. Step 5: Solve for x
    x = 354,678.33/629.43
  6. Step 6: Final answer
    x = 563.49

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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.