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Finding the Fourth Proportional to 408.84, 613.14 and 120.26

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Solution

The fourth proportional to 408.84, 613.14 and 120.26 is: 180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.84 : 613.14 = 120.26 : x
  2. Step 2: Convert to fraction form
    408.84/613.14 = 120.26/x
  3. Step 3: Cross multiply
    408.84x = 613.14 × 120.26
  4. Step 4: Simplify right side
    408.84x = 73,736.22
  5. Step 5: Solve for x
    x = 73,736.22/408.84
  6. Step 6: Final answer
    x = 180.35

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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.