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Finding the Fourth Proportional to 297.52, 409.96 and 227.57

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Solution

The fourth proportional to 297.52, 409.96 and 227.57 is: 313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.52 : 409.96 = 227.57 : x
  2. Step 2: Convert to fraction form
    297.52/409.96 = 227.57/x
  3. Step 3: Cross multiply
    297.52x = 409.96 × 227.57
  4. Step 4: Simplify right side
    297.52x = 93,295.05
  5. Step 5: Solve for x
    x = 93,295.05/297.52
  6. Step 6: Final answer
    x = 313.58

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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.