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Finding the Fourth Proportional to 408.53, 613.09 and 192.26

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Solution

The fourth proportional to 408.53, 613.09 and 192.26 is: 288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.53 : 613.09 = 192.26 : x
  2. Step 2: Convert to fraction form
    408.53/613.09 = 192.26/x
  3. Step 3: Cross multiply
    408.53x = 613.09 × 192.26
  4. Step 4: Simplify right side
    408.53x = 117,871.55
  5. Step 5: Solve for x
    x = 117,871.55/408.53
  6. Step 6: Final answer
    x = 288.53

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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.