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Finding the Fourth Proportional to 408.51, 613.01 and 192.11

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Solution

The fourth proportional to 408.51, 613.01 and 192.11 is: 288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.51 : 613.01 = 192.11 : x
  2. Step 2: Convert to fraction form
    408.51/613.01 = 192.11/x
  3. Step 3: Cross multiply
    408.51x = 613.01 × 192.11
  4. Step 4: Simplify right side
    408.51x = 117,762.77
  5. Step 5: Solve for x
    x = 117,762.77/408.51
  6. Step 6: Final answer
    x = 288.27

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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.