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Finding the Fourth Proportional to 404.45, 558.10 and 227.36

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Solution

The fourth proportional to 404.45, 558.10 and 227.36 is: 313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.45 : 558.10 = 227.36 : x
  2. Step 2: Convert to fraction form
    404.45/558.10 = 227.36/x
  3. Step 3: Cross multiply
    404.45x = 558.10 × 227.36
  4. Step 4: Simplify right side
    404.45x = 126,889.62
  5. Step 5: Solve for x
    x = 126,889.62/404.45
  6. Step 6: Final answer
    x = 313.73

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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.