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Finding the Fourth Proportional to 629.98, 868.66 and 443.41

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Solution

The fourth proportional to 629.98, 868.66 and 443.41 is: 611.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.98 : 868.66 = 443.41 : x
  2. Step 2: Convert to fraction form
    629.98/868.66 = 443.41/x
  3. Step 3: Cross multiply
    629.98x = 868.66 × 443.41
  4. Step 4: Simplify right side
    629.98x = 385,169.25
  5. Step 5: Solve for x
    x = 385,169.25/629.98
  6. Step 6: Final answer
    x = 611.40

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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.