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Finding the Fourth Proportional to 629.41, 868.61 and 349.65

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Solution

The fourth proportional to 629.41, 868.61 and 349.65 is: 482.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.41 : 868.61 = 349.65 : x
  2. Step 2: Convert to fraction form
    629.41/868.61 = 349.65/x
  3. Step 3: Cross multiply
    629.41x = 868.61 × 349.65
  4. Step 4: Simplify right side
    629.41x = 303,713.53
  5. Step 5: Solve for x
    x = 303,713.53/629.41
  6. Step 6: Final answer
    x = 482.54

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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.