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Finding the Fourth Proportional to 539.41, 809.12 and 214.78

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Solution

The fourth proportional to 539.41, 809.12 and 214.78 is: 322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.41 : 809.12 = 214.78 : x
  2. Step 2: Convert to fraction form
    539.41/809.12 = 214.78/x
  3. Step 3: Cross multiply
    539.41x = 809.12 × 214.78
  4. Step 4: Simplify right side
    539.41x = 173,782.79
  5. Step 5: Solve for x
    x = 173,782.79/539.41
  6. Step 6: Final answer
    x = 322.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.