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Finding the Fourth Proportional to 539.96, 809.33 and 214.95

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Solution

The fourth proportional to 539.96, 809.33 and 214.95 is: 322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.96 : 809.33 = 214.95 : x
  2. Step 2: Convert to fraction form
    539.96/809.33 = 214.95/x
  3. Step 3: Cross multiply
    539.96x = 809.33 × 214.95
  4. Step 4: Simplify right side
    539.96x = 173,965.48
  5. Step 5: Solve for x
    x = 173,965.48/539.96
  6. Step 6: Final answer
    x = 322.18

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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.