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Finding the Fourth Proportional to 293.44, 404.78 and 227

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Solution

The fourth proportional to 293.44, 404.78 and 227 is: 313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.44 : 404.78 = 227 : x
  2. Step 2: Convert to fraction form
    293.44/404.78 = 227/x
  3. Step 3: Cross multiply
    293.44x = 404.78 × 227
  4. Step 4: Simplify right side
    293.44x = 91,885.06
  5. Step 5: Solve for x
    x = 91,885.06/293.44
  6. Step 6: Final answer
    x = 313.13

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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.