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Finding the Fourth Proportional to 629.62, 869.04 and 408.58

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Solution

The fourth proportional to 629.62, 869.04 and 408.58 is: 563.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.62 : 869.04 = 408.58 : x
  2. Step 2: Convert to fraction form
    629.62/869.04 = 408.58/x
  3. Step 3: Cross multiply
    629.62x = 869.04 × 408.58
  4. Step 4: Simplify right side
    629.62x = 355,072.36
  5. Step 5: Solve for x
    x = 355,072.36/629.62
  6. Step 6: Final answer
    x = 563.95

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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.