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Finding the Fourth Proportional to 404.56, 558.25 and 227.52

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Solution

The fourth proportional to 404.56, 558.25 and 227.52 is: 313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.56 : 558.25 = 227.52 : x
  2. Step 2: Convert to fraction form
    404.56/558.25 = 227.52/x
  3. Step 3: Cross multiply
    404.56x = 558.25 × 227.52
  4. Step 4: Simplify right side
    404.56x = 127,013.04
  5. Step 5: Solve for x
    x = 127,013.04/404.56
  6. Step 6: Final answer
    x = 313.95

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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.