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Finding the Fourth Proportional to 541.96, 813.31 and 234.09

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Solution

The fourth proportional to 541.96, 813.31 and 234.09 is: 351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.96 : 813.31 = 234.09 : x
  2. Step 2: Convert to fraction form
    541.96/813.31 = 234.09/x
  3. Step 3: Cross multiply
    541.96x = 813.31 × 234.09
  4. Step 4: Simplify right side
    541.96x = 190,387.15
  5. Step 5: Solve for x
    x = 190,387.15/541.96
  6. Step 6: Final answer
    x = 351.30

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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.