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Finding the Fourth Proportional to 539.54, 809.24 and 214.59

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Solution

The fourth proportional to 539.54, 809.24 and 214.59 is: 321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.54 : 809.24 = 214.59 : x
  2. Step 2: Convert to fraction form
    539.54/809.24 = 214.59/x
  3. Step 3: Cross multiply
    539.54x = 809.24 × 214.59
  4. Step 4: Simplify right side
    539.54x = 173,653.74
  5. Step 5: Solve for x
    x = 173,653.74/539.54
  6. Step 6: Final answer
    x = 321.86

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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.