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Finding the Fourth Proportional to 541.38, 811.83 and 267.42

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Solution

The fourth proportional to 541.38, 811.83 and 267.42 is: 401.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.38 : 811.83 = 267.42 : x
  2. Step 2: Convert to fraction form
    541.38/811.83 = 267.42/x
  3. Step 3: Cross multiply
    541.38x = 811.83 × 267.42
  4. Step 4: Simplify right side
    541.38x = 217,099.58
  5. Step 5: Solve for x
    x = 217,099.58/541.38
  6. Step 6: Final answer
    x = 401.01

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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.