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Finding the Fourth Proportional to 539.74, 808.83 and 409.63

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Solution

The fourth proportional to 539.74, 808.83 and 409.63 is: 613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.74 : 808.83 = 409.63 : x
  2. Step 2: Convert to fraction form
    539.74/808.83 = 409.63/x
  3. Step 3: Cross multiply
    539.74x = 808.83 × 409.63
  4. Step 4: Simplify right side
    539.74x = 331,321.03
  5. Step 5: Solve for x
    x = 331,321.03/539.74
  6. Step 6: Final answer
    x = 613.85

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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.