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Finding the Fourth Proportional to 367.80, 507.38 and 220.40

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Solution

The fourth proportional to 367.80, 507.38 and 220.40 is: 304.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.80 : 507.38 = 220.40 : x
  2. Step 2: Convert to fraction form
    367.80/507.38 = 220.40/x
  3. Step 3: Cross multiply
    367.80x = 507.38 × 220.40
  4. Step 4: Simplify right side
    367.80x = 111,826.55
  5. Step 5: Solve for x
    x = 111,826.55/367.80
  6. Step 6: Final answer
    x = 304.04

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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.