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Finding the Fourth Proportional to 629.31, 868.56 and 367.41

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Solution

The fourth proportional to 629.31, 868.56 and 367.41 is: 507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.31 : 868.56 = 367.41 : x
  2. Step 2: Convert to fraction form
    629.31/868.56 = 367.41/x
  3. Step 3: Cross multiply
    629.31x = 868.56 × 367.41
  4. Step 4: Simplify right side
    629.31x = 319,117.63
  5. Step 5: Solve for x
    x = 319,117.63/629.31
  6. Step 6: Final answer
    x = 507.09

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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.