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Finding the Fourth Proportional to 367.09, 506.30 and 325.12

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Solution

The fourth proportional to 367.09, 506.30 and 325.12 is: 448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.09 : 506.30 = 325.12 : x
  2. Step 2: Convert to fraction form
    367.09/506.30 = 325.12/x
  3. Step 3: Cross multiply
    367.09x = 506.30 × 325.12
  4. Step 4: Simplify right side
    367.09x = 164,609.57
  5. Step 5: Solve for x
    x = 164,609.57/367.09
  6. Step 6: Final answer
    x = 448.42

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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.