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Finding the Fourth Proportional to 539.29, 809.00 and 192.55

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Solution

The fourth proportional to 539.29, 809.00 and 192.55 is: 288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.29 : 809.00 = 192.55 : x
  2. Step 2: Convert to fraction form
    539.29/809.00 = 192.55/x
  3. Step 3: Cross multiply
    539.29x = 809.00 × 192.55
  4. Step 4: Simplify right side
    539.29x = 155,767.94
  5. Step 5: Solve for x
    x = 155,767.94/539.29
  6. Step 6: Final answer
    x = 288.84

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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.