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Finding the Fourth Proportional to 312.20, 468.24 and 204.44

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Solution

The fourth proportional to 312.20, 468.24 and 204.44 is: 306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.20 : 468.24 = 204.44 : x
  2. Step 2: Convert to fraction form
    312.20/468.24 = 204.44/x
  3. Step 3: Cross multiply
    312.20x = 468.24 × 204.44
  4. Step 4: Simplify right side
    312.20x = 95,726.99
  5. Step 5: Solve for x
    x = 95,726.99/312.20
  6. Step 6: Final answer
    x = 306.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.