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Finding the Fourth Proportional to 404.62, 558.23 and 227.54

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Solution

The fourth proportional to 404.62, 558.23 and 227.54 is: 313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.62 : 558.23 = 227.54 : x
  2. Step 2: Convert to fraction form
    404.62/558.23 = 227.54/x
  3. Step 3: Cross multiply
    404.62x = 558.23 × 227.54
  4. Step 4: Simplify right side
    404.62x = 127,021.62
  5. Step 5: Solve for x
    x = 127,021.62/404.62
  6. Step 6: Final answer
    x = 313.93

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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.