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Finding the Fourth Proportional to 408.49, 612.77 and 119.94

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Solution

The fourth proportional to 408.49, 612.77 and 119.94 is: 179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.49 : 612.77 = 119.94 : x
  2. Step 2: Convert to fraction form
    408.49/612.77 = 119.94/x
  3. Step 3: Cross multiply
    408.49x = 612.77 × 119.94
  4. Step 4: Simplify right side
    408.49x = 73,495.63
  5. Step 5: Solve for x
    x = 73,495.63/408.49
  6. Step 6: Final answer
    x = 179.92

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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.