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Finding the Fourth Proportional to 297.09, 409.92 and 227.23

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Solution

The fourth proportional to 297.09, 409.92 and 227.23 is: 313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.09 : 409.92 = 227.23 : x
  2. Step 2: Convert to fraction form
    297.09/409.92 = 227.23/x
  3. Step 3: Cross multiply
    297.09x = 409.92 × 227.23
  4. Step 4: Simplify right side
    297.09x = 93,146.12
  5. Step 5: Solve for x
    x = 93,146.12/297.09
  6. Step 6: Final answer
    x = 313.53

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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.