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Finding the Fourth Proportional to 391.44, 539.69 and 301.79

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Solution

The fourth proportional to 391.44, 539.69 and 301.79 is: 416.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.44 : 539.69 = 301.79 : x
  2. Step 2: Convert to fraction form
    391.44/539.69 = 301.79/x
  3. Step 3: Cross multiply
    391.44x = 539.69 × 301.79
  4. Step 4: Simplify right side
    391.44x = 162,874.87
  5. Step 5: Solve for x
    x = 162,874.87/391.44
  6. Step 6: Final answer
    x = 416.09

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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.