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Finding the Fourth Proportional to 539.21, 809.06 and 214.49

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Solution

The fourth proportional to 539.21, 809.06 and 214.49 is: 321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.21 : 809.06 = 214.49 : x
  2. Step 2: Convert to fraction form
    539.21/809.06 = 214.49/x
  3. Step 3: Cross multiply
    539.21x = 809.06 × 214.49
  4. Step 4: Simplify right side
    539.21x = 173,535.28
  5. Step 5: Solve for x
    x = 173,535.28/539.21
  6. Step 6: Final answer
    x = 321.83

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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.