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Finding the Fourth Proportional to 541.94, 813.04 and 310.97

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Solution

The fourth proportional to 541.94, 813.04 and 310.97 is: 466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.94 : 813.04 = 310.97 : x
  2. Step 2: Convert to fraction form
    541.94/813.04 = 310.97/x
  3. Step 3: Cross multiply
    541.94x = 813.04 × 310.97
  4. Step 4: Simplify right side
    541.94x = 252,832.30
  5. Step 5: Solve for x
    x = 252,832.30/541.94
  6. Step 6: Final answer
    x = 466.54

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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.