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Finding the Fourth Proportional to 539.88, 810.09 and 409.83

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Solution

The fourth proportional to 539.88, 810.09 and 409.83 is: 614.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.88 : 810.09 = 409.83 : x
  2. Step 2: Convert to fraction form
    539.88/810.09 = 409.83/x
  3. Step 3: Cross multiply
    539.88x = 810.09 × 409.83
  4. Step 4: Simplify right side
    539.88x = 331,999.18
  5. Step 5: Solve for x
    x = 331,999.18/539.88
  6. Step 6: Final answer
    x = 614.95

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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.