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Finding the Fourth Proportional to 367.39, 506.91 and 243.28

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Solution

The fourth proportional to 367.39, 506.91 and 243.28 is: 335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.39 : 506.91 = 243.28 : x
  2. Step 2: Convert to fraction form
    367.39/506.91 = 243.28/x
  3. Step 3: Cross multiply
    367.39x = 506.91 × 243.28
  4. Step 4: Simplify right side
    367.39x = 123,321.06
  5. Step 5: Solve for x
    x = 123,321.06/367.39
  6. Step 6: Final answer
    x = 335.67

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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.