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Finding the Fourth Proportional to 367.07, 506.75 and 331.98

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Solution

The fourth proportional to 367.07, 506.75 and 331.98 is: 458.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.07 : 506.75 = 331.98 : x
  2. Step 2: Convert to fraction form
    367.07/506.75 = 331.98/x
  3. Step 3: Cross multiply
    367.07x = 506.75 × 331.98
  4. Step 4: Simplify right side
    367.07x = 168,229.21
  5. Step 5: Solve for x
    x = 168,229.21/367.07
  6. Step 6: Final answer
    x = 458.31

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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.