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Finding the Fourth Proportional to 629.98, 868.79 and 409.19

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Solution

The fourth proportional to 629.98, 868.79 and 409.19 is: 564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.98 : 868.79 = 409.19 : x
  2. Step 2: Convert to fraction form
    629.98/868.79 = 409.19/x
  3. Step 3: Cross multiply
    629.98x = 868.79 × 409.19
  4. Step 4: Simplify right side
    629.98x = 355,496.86
  5. Step 5: Solve for x
    x = 355,496.86/629.98
  6. Step 6: Final answer
    x = 564.30

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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.