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Finding the Fourth Proportional to 539.80, 809.70 and 193.22

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Solution

The fourth proportional to 539.80, 809.70 and 193.22 is: 289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.80 : 809.70 = 193.22 : x
  2. Step 2: Convert to fraction form
    539.80/809.70 = 193.22/x
  3. Step 3: Cross multiply
    539.80x = 809.70 × 193.22
  4. Step 4: Simplify right side
    539.80x = 156,450.23
  5. Step 5: Solve for x
    x = 156,450.23/539.80
  6. Step 6: Final answer
    x = 289.83

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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.