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Finding the Fourth Proportional to 540.27, 810.12 and 231.96

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Solution

The fourth proportional to 540.27, 810.12 and 231.96 is: 347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.27 : 810.12 = 231.96 : x
  2. Step 2: Convert to fraction form
    540.27/810.12 = 231.96/x
  3. Step 3: Cross multiply
    540.27x = 810.12 × 231.96
  4. Step 4: Simplify right side
    540.27x = 187,915.44
  5. Step 5: Solve for x
    x = 187,915.44/540.27
  6. Step 6: Final answer
    x = 347.82

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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.