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Finding the Fourth Proportional to 540.02, 810.09 and 231.80

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Solution

The fourth proportional to 540.02, 810.09 and 231.80 is: 347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.02 : 810.09 = 231.80 : x
  2. Step 2: Convert to fraction form
    540.02/810.09 = 231.80/x
  3. Step 3: Cross multiply
    540.02x = 810.09 × 231.80
  4. Step 4: Simplify right side
    540.02x = 187,778.86
  5. Step 5: Solve for x
    x = 187,778.86/540.02
  6. Step 6: Final answer
    x = 347.73

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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.