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Finding the Fourth Proportional to 404.54, 558.25 and 227.50

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Solution

The fourth proportional to 404.54, 558.25 and 227.50 is: 313.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.54 : 558.25 = 227.50 : x
  2. Step 2: Convert to fraction form
    404.54/558.25 = 227.50/x
  3. Step 3: Cross multiply
    404.54x = 558.25 × 227.50
  4. Step 4: Simplify right side
    404.54x = 126,999.91
  5. Step 5: Solve for x
    x = 126,999.91/404.54
  6. Step 6: Final answer
    x = 313.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.