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Finding the Fourth Proportional to 367.71, 506.97 and 236.49

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Solution

The fourth proportional to 367.71, 506.97 and 236.49 is: 326.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.71 : 506.97 = 236.49 : x
  2. Step 2: Convert to fraction form
    367.71/506.97 = 236.49/x
  3. Step 3: Cross multiply
    367.71x = 506.97 × 236.49
  4. Step 4: Simplify right side
    367.71x = 119,893.34
  5. Step 5: Solve for x
    x = 119,893.34/367.71
  6. Step 6: Final answer
    x = 326.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.