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Finding the Fourth Proportional to 297.44, 410.39 and 227.57

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Solution

The fourth proportional to 297.44, 410.39 and 227.57 is: 313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.44 : 410.39 = 227.57 : x
  2. Step 2: Convert to fraction form
    297.44/410.39 = 227.57/x
  3. Step 3: Cross multiply
    297.44x = 410.39 × 227.57
  4. Step 4: Simplify right side
    297.44x = 93,389.26
  5. Step 5: Solve for x
    x = 93,389.26/297.44
  6. Step 6: Final answer
    x = 313.98

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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.