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Finding the Fourth Proportional to 629.50, 868.15 and 408.23

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Solution

The fourth proportional to 629.50, 868.15 and 408.23 is: 562.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.50 : 868.15 = 408.23 : x
  2. Step 2: Convert to fraction form
    629.50/868.15 = 408.23/x
  3. Step 3: Cross multiply
    629.50x = 868.15 × 408.23
  4. Step 4: Simplify right side
    629.50x = 354,404.87
  5. Step 5: Solve for x
    x = 354,404.87/629.50
  6. Step 6: Final answer
    x = 562.99

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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.