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Finding the Fourth Proportional to 539.60, 809.38 and 214.88

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Solution

The fourth proportional to 539.60, 809.38 and 214.88 is: 322.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.60 : 809.38 = 214.88 : x
  2. Step 2: Convert to fraction form
    539.60/809.38 = 214.88/x
  3. Step 3: Cross multiply
    539.60x = 809.38 × 214.88
  4. Step 4: Simplify right side
    539.60x = 173,919.57
  5. Step 5: Solve for x
    x = 173,919.57/539.60
  6. Step 6: Final answer
    x = 322.31

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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.