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Finding the Fourth Proportional to 391.14, 540.09 and 267.06

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Solution

The fourth proportional to 391.14, 540.09 and 267.06 is: 368.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.14 : 540.09 = 267.06 : x
  2. Step 2: Convert to fraction form
    391.14/540.09 = 267.06/x
  3. Step 3: Cross multiply
    391.14x = 540.09 × 267.06
  4. Step 4: Simplify right side
    391.14x = 144,236.44
  5. Step 5: Solve for x
    x = 144,236.44/391.14
  6. Step 6: Final answer
    x = 368.76

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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.