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Finding the Fourth Proportional to 541.11, 811.29 and 263.31

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Solution

The fourth proportional to 541.11, 811.29 and 263.31 is: 394.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.11 : 811.29 = 263.31 : x
  2. Step 2: Convert to fraction form
    541.11/811.29 = 263.31/x
  3. Step 3: Cross multiply
    541.11x = 811.29 × 263.31
  4. Step 4: Simplify right side
    541.11x = 213,620.77
  5. Step 5: Solve for x
    x = 213,620.77/541.11
  6. Step 6: Final answer
    x = 394.78

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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.