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Finding the Fourth Proportional to 300.62, 415.41 and 226.80

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Solution

The fourth proportional to 300.62, 415.41 and 226.80 is: 313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.62 : 415.41 = 226.80 : x
  2. Step 2: Convert to fraction form
    300.62/415.41 = 226.80/x
  3. Step 3: Cross multiply
    300.62x = 415.41 × 226.80
  4. Step 4: Simplify right side
    300.62x = 94,214.99
  5. Step 5: Solve for x
    x = 94,214.99/300.62
  6. Step 6: Final answer
    x = 313.41

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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.