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Finding the Fourth Proportional to 367.28, 506.71 and 262.38

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Solution

The fourth proportional to 367.28, 506.71 and 262.38 is: 361.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.28 : 506.71 = 262.38 : x
  2. Step 2: Convert to fraction form
    367.28/506.71 = 262.38/x
  3. Step 3: Cross multiply
    367.28x = 506.71 × 262.38
  4. Step 4: Simplify right side
    367.28x = 132,950.57
  5. Step 5: Solve for x
    x = 132,950.57/367.28
  6. Step 6: Final answer
    x = 361.99

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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.