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Finding the Fourth Proportional to 297.70, 410.71 and 227.68

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Solution

The fourth proportional to 297.70, 410.71 and 227.68 is: 314.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.70 : 410.71 = 227.68 : x
  2. Step 2: Convert to fraction form
    297.70/410.71 = 227.68/x
  3. Step 3: Cross multiply
    297.70x = 410.71 × 227.68
  4. Step 4: Simplify right side
    297.70x = 93,511.48
  5. Step 5: Solve for x
    x = 93,511.48/297.70
  6. Step 6: Final answer
    x = 314.12

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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.