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Finding the Fourth Proportional to 539.76, 809.96 and 366.54

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Solution

The fourth proportional to 539.76, 809.96 and 366.54 is: 550.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.76 : 809.96 = 366.54 : x
  2. Step 2: Convert to fraction form
    539.76/809.96 = 366.54/x
  3. Step 3: Cross multiply
    539.76x = 809.96 × 366.54
  4. Step 4: Simplify right side
    539.76x = 296,882.74
  5. Step 5: Solve for x
    x = 296,882.74/539.76
  6. Step 6: Final answer
    x = 550.03

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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.