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Finding the Fourth Proportional to 392.22, 541.61 and 267.84

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Solution

The fourth proportional to 392.22, 541.61 and 267.84 is: 369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.22 : 541.61 = 267.84 : x
  2. Step 2: Convert to fraction form
    392.22/541.61 = 267.84/x
  3. Step 3: Cross multiply
    392.22x = 541.61 × 267.84
  4. Step 4: Simplify right side
    392.22x = 145,063.48
  5. Step 5: Solve for x
    x = 145,063.48/392.22
  6. Step 6: Final answer
    x = 369.85

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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.