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Finding the Fourth Proportional to 297.54, 411.09 and 227.85

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Solution

The fourth proportional to 297.54, 411.09 and 227.85 is: 314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.54 : 411.09 = 227.85 : x
  2. Step 2: Convert to fraction form
    297.54/411.09 = 227.85/x
  3. Step 3: Cross multiply
    297.54x = 411.09 × 227.85
  4. Step 4: Simplify right side
    297.54x = 93,666.86
  5. Step 5: Solve for x
    x = 93,666.86/297.54
  6. Step 6: Final answer
    x = 314.80

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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.