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Finding the Fourth Proportional to 539.87, 810.14 and 231.86

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Solution

The fourth proportional to 539.87, 810.14 and 231.86 is: 347.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.87 : 810.14 = 231.86 : x
  2. Step 2: Convert to fraction form
    539.87/810.14 = 231.86/x
  3. Step 3: Cross multiply
    539.87x = 810.14 × 231.86
  4. Step 4: Simplify right side
    539.87x = 187,839.93
  5. Step 5: Solve for x
    x = 187,839.93/539.87
  6. Step 6: Final answer
    x = 347.94

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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.