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Finding the Fourth Proportional to 539.00, 809.85 and 344.09

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Solution

The fourth proportional to 539.00, 809.85 and 344.09 is: 516.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.00 : 809.85 = 344.09 : x
  2. Step 2: Convert to fraction form
    539.00/809.85 = 344.09/x
  3. Step 3: Cross multiply
    539.00x = 809.85 × 344.09
  4. Step 4: Simplify right side
    539.00x = 278,657.24
  5. Step 5: Solve for x
    x = 278,657.24/539.00
  6. Step 6: Final answer
    x = 516.99

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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.