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Finding the Fourth Proportional to 303.28, 453.53 and 226.30

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Solution

The fourth proportional to 303.28, 453.53 and 226.30 is: 338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.28 : 453.53 = 226.30 : x
  2. Step 2: Convert to fraction form
    303.28/453.53 = 226.30/x
  3. Step 3: Cross multiply
    303.28x = 453.53 × 226.30
  4. Step 4: Simplify right side
    303.28x = 102,633.84
  5. Step 5: Solve for x
    x = 102,633.84/303.28
  6. Step 6: Final answer
    x = 338.41

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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.