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Finding the Fourth Proportional to 629.17, 868.12 and 367.07

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Solution

The fourth proportional to 629.17, 868.12 and 367.07 is: 506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.17 : 868.12 = 367.07 : x
  2. Step 2: Convert to fraction form
    629.17/868.12 = 367.07/x
  3. Step 3: Cross multiply
    629.17x = 868.12 × 367.07
  4. Step 4: Simplify right side
    629.17x = 318,655.55
  5. Step 5: Solve for x
    x = 318,655.55/629.17
  6. Step 6: Final answer
    x = 506.47

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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.