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Finding the Fourth Proportional to 629.51, 869.27 and 408.65

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Solution

The fourth proportional to 629.51, 869.27 and 408.65 is: 564.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.51 : 869.27 = 408.65 : x
  2. Step 2: Convert to fraction form
    629.51/869.27 = 408.65/x
  3. Step 3: Cross multiply
    629.51x = 869.27 × 408.65
  4. Step 4: Simplify right side
    629.51x = 355,220.80
  5. Step 5: Solve for x
    x = 355,220.80/629.51
  6. Step 6: Final answer
    x = 564.29

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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.