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Finding the Fourth Proportional to 367.82, 507.75 and 220.43

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Solution

The fourth proportional to 367.82, 507.75 and 220.43 is: 304.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.82 : 507.75 = 220.43 : x
  2. Step 2: Convert to fraction form
    367.82/507.75 = 220.43/x
  3. Step 3: Cross multiply
    367.82x = 507.75 × 220.43
  4. Step 4: Simplify right side
    367.82x = 111,923.78
  5. Step 5: Solve for x
    x = 111,923.78/367.82
  6. Step 6: Final answer
    x = 304.29

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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.