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Finding the Fourth Proportional to 629.83, 868.62 and 408.70

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Solution

The fourth proportional to 629.83, 868.62 and 408.70 is: 563.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.83 : 868.62 = 408.70 : x
  2. Step 2: Convert to fraction form
    629.83/868.62 = 408.70/x
  3. Step 3: Cross multiply
    629.83x = 868.62 × 408.70
  4. Step 4: Simplify right side
    629.83x = 355,004.99
  5. Step 5: Solve for x
    x = 355,004.99/629.83
  6. Step 6: Final answer
    x = 563.65

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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.