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Finding the Fourth Proportional to 318.56, 477.28 and 226.80

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Solution

The fourth proportional to 318.56, 477.28 and 226.80 is: 339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.56 : 477.28 = 226.80 : x
  2. Step 2: Convert to fraction form
    318.56/477.28 = 226.80/x
  3. Step 3: Cross multiply
    318.56x = 477.28 × 226.80
  4. Step 4: Simplify right side
    318.56x = 108,247.10
  5. Step 5: Solve for x
    x = 108,247.10/318.56
  6. Step 6: Final answer
    x = 339.80

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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.