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Finding the Fourth Proportional to 629.26, 868.34 and 349.47

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Solution

The fourth proportional to 629.26, 868.34 and 349.47 is: 482.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.26 : 868.34 = 349.47 : x
  2. Step 2: Convert to fraction form
    629.26/868.34 = 349.47/x
  3. Step 3: Cross multiply
    629.26x = 868.34 × 349.47
  4. Step 4: Simplify right side
    629.26x = 303,459.65
  5. Step 5: Solve for x
    x = 303,459.65/629.26
  6. Step 6: Final answer
    x = 482.25

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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.