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Finding the Fourth Proportional to 539.40, 809.14 and 192.80

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Solution

The fourth proportional to 539.40, 809.14 and 192.80 is: 289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.40 : 809.14 = 192.80 : x
  2. Step 2: Convert to fraction form
    539.40/809.14 = 192.80/x
  3. Step 3: Cross multiply
    539.40x = 809.14 × 192.80
  4. Step 4: Simplify right side
    539.40x = 156,002.19
  5. Step 5: Solve for x
    x = 156,002.19/539.40
  6. Step 6: Final answer
    x = 289.21

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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.