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Finding the Fourth Proportional to 662.11, 913.67 and 367.37

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Solution

The fourth proportional to 662.11, 913.67 and 367.37 is: 506.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.11 : 913.67 = 367.37 : x
  2. Step 2: Convert to fraction form
    662.11/913.67 = 367.37/x
  3. Step 3: Cross multiply
    662.11x = 913.67 × 367.37
  4. Step 4: Simplify right side
    662.11x = 335,648.54
  5. Step 5: Solve for x
    x = 335,648.54/662.11
  6. Step 6: Final answer
    x = 506.94

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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.