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Finding the Fourth Proportional to 367.25, 506.08 and 262.15

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Solution

The fourth proportional to 367.25, 506.08 and 262.15 is: 361.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.25 : 506.08 = 262.15 : x
  2. Step 2: Convert to fraction form
    367.25/506.08 = 262.15/x
  3. Step 3: Cross multiply
    367.25x = 506.08 × 262.15
  4. Step 4: Simplify right side
    367.25x = 132,668.87
  5. Step 5: Solve for x
    x = 132,668.87/367.25
  6. Step 6: Final answer
    x = 361.25

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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.