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Finding the Fourth Proportional to 629.14, 868.11 and 367.06

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Solution

The fourth proportional to 629.14, 868.11 and 367.06 is: 506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.14 : 868.11 = 367.06 : x
  2. Step 2: Convert to fraction form
    629.14/868.11 = 367.06/x
  3. Step 3: Cross multiply
    629.14x = 868.11 × 367.06
  4. Step 4: Simplify right side
    629.14x = 318,648.46
  5. Step 5: Solve for x
    x = 318,648.46/629.14
  6. Step 6: Final answer
    x = 506.48

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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.