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Finding the Fourth Proportional to 391.76, 541.12 and 293.96

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Solution

The fourth proportional to 391.76, 541.12 and 293.96 is: 406.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.76 : 541.12 = 293.96 : x
  2. Step 2: Convert to fraction form
    391.76/541.12 = 293.96/x
  3. Step 3: Cross multiply
    391.76x = 541.12 × 293.96
  4. Step 4: Simplify right side
    391.76x = 159,067.64
  5. Step 5: Solve for x
    x = 159,067.64/391.76
  6. Step 6: Final answer
    x = 406.03

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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.