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Finding the Fourth Proportional to 408.70, 613.20 and 192.13

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Solution

The fourth proportional to 408.70, 613.20 and 192.13 is: 288.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.70 : 613.20 = 192.13 : x
  2. Step 2: Convert to fraction form
    408.70/613.20 = 192.13/x
  3. Step 3: Cross multiply
    408.70x = 613.20 × 192.13
  4. Step 4: Simplify right side
    408.70x = 117,811.05
  5. Step 5: Solve for x
    x = 117,811.05/408.70
  6. Step 6: Final answer
    x = 288.26

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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.