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Finding the Fourth Proportional to 337.80, 466 and 227.44

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Solution

The fourth proportional to 337.80, 466 and 227.44 is: 313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.80 : 466 = 227.44 : x
  2. Step 2: Convert to fraction form
    337.80/466 = 227.44/x
  3. Step 3: Cross multiply
    337.80x = 466 × 227.44
  4. Step 4: Simplify right side
    337.80x = 105,987.04
  5. Step 5: Solve for x
    x = 105,987.04/337.80
  6. Step 6: Final answer
    x = 313.76

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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.