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Finding the Fourth Proportional to 539.57, 809.38 and 192.93

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Solution

The fourth proportional to 539.57, 809.38 and 192.93 is: 289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.57 : 809.38 = 192.93 : x
  2. Step 2: Convert to fraction form
    539.57/809.38 = 192.93/x
  3. Step 3: Cross multiply
    539.57x = 809.38 × 192.93
  4. Step 4: Simplify right side
    539.57x = 156,153.20
  5. Step 5: Solve for x
    x = 156,153.20/539.57
  6. Step 6: Final answer
    x = 289.40

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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.