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Finding the Fourth Proportional to 539.22, 808.17 and 408.21

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Solution

The fourth proportional to 539.22, 808.17 and 408.21 is: 611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.22 : 808.17 = 408.21 : x
  2. Step 2: Convert to fraction form
    539.22/808.17 = 408.21/x
  3. Step 3: Cross multiply
    539.22x = 808.17 × 408.21
  4. Step 4: Simplify right side
    539.22x = 329,903.08
  5. Step 5: Solve for x
    x = 329,903.08/539.22
  6. Step 6: Final answer
    x = 611.82

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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.