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Finding the Fourth Proportional to 404.48, 558.14 and 227.42

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Solution

The fourth proportional to 404.48, 558.14 and 227.42 is: 313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.48 : 558.14 = 227.42 : x
  2. Step 2: Convert to fraction form
    404.48/558.14 = 227.42/x
  3. Step 3: Cross multiply
    404.48x = 558.14 × 227.42
  4. Step 4: Simplify right side
    404.48x = 126,932.43
  5. Step 5: Solve for x
    x = 126,932.43/404.48
  6. Step 6: Final answer
    x = 313.82

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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.