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Finding the Fourth Proportional to 391.41, 587.33 and 227.08

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Solution

The fourth proportional to 391.41, 587.33 and 227.08 is: 340.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.41 : 587.33 = 227.08 : x
  2. Step 2: Convert to fraction form
    391.41/587.33 = 227.08/x
  3. Step 3: Cross multiply
    391.41x = 587.33 × 227.08
  4. Step 4: Simplify right side
    391.41x = 133,370.90
  5. Step 5: Solve for x
    x = 133,370.90/391.41
  6. Step 6: Final answer
    x = 340.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.