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Finding the Fourth Proportional to 367.80, 507.50 and 220.44

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Solution

The fourth proportional to 367.80, 507.50 and 220.44 is: 304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.80 : 507.50 = 220.44 : x
  2. Step 2: Convert to fraction form
    367.80/507.50 = 220.44/x
  3. Step 3: Cross multiply
    367.80x = 507.50 × 220.44
  4. Step 4: Simplify right side
    367.80x = 111,873.30
  5. Step 5: Solve for x
    x = 111,873.30/367.80
  6. Step 6: Final answer
    x = 304.17

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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.