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Finding the Fourth Proportional to 404.92, 558.74 and 227.87

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Solution

The fourth proportional to 404.92, 558.74 and 227.87 is: 314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.92 : 558.74 = 227.87 : x
  2. Step 2: Convert to fraction form
    404.92/558.74 = 227.87/x
  3. Step 3: Cross multiply
    404.92x = 558.74 × 227.87
  4. Step 4: Simplify right side
    404.92x = 127,321.10
  5. Step 5: Solve for x
    x = 127,321.10/404.92
  6. Step 6: Final answer
    x = 314.44

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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.