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Finding the Fourth Proportional to 632.82, 873.27 and 367.27

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Solution

The fourth proportional to 632.82, 873.27 and 367.27 is: 506.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.82 : 873.27 = 367.27 : x
  2. Step 2: Convert to fraction form
    632.82/873.27 = 367.27/x
  3. Step 3: Cross multiply
    632.82x = 873.27 × 367.27
  4. Step 4: Simplify right side
    632.82x = 320,723.69
  5. Step 5: Solve for x
    x = 320,723.69/632.82
  6. Step 6: Final answer
    x = 506.81

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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.