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Finding the Fourth Proportional to 539.91, 744.79 and 408.69

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Solution

The fourth proportional to 539.91, 744.79 and 408.69 is: 563.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.91 : 744.79 = 408.69 : x
  2. Step 2: Convert to fraction form
    539.91/744.79 = 408.69/x
  3. Step 3: Cross multiply
    539.91x = 744.79 × 408.69
  4. Step 4: Simplify right side
    539.91x = 304,388.23
  5. Step 5: Solve for x
    x = 304,388.23/539.91
  6. Step 6: Final answer
    x = 563.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.