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Finding the Fourth Proportional to 404.83, 558.63 and 227.78

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Solution

The fourth proportional to 404.83, 558.63 and 227.78 is: 314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.83 : 558.63 = 227.78 : x
  2. Step 2: Convert to fraction form
    404.83/558.63 = 227.78/x
  3. Step 3: Cross multiply
    404.83x = 558.63 × 227.78
  4. Step 4: Simplify right side
    404.83x = 127,244.74
  5. Step 5: Solve for x
    x = 127,244.74/404.83
  6. Step 6: Final answer
    x = 314.32

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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.