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Finding the Fourth Proportional to 408.65, 613.04 and 120.11

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Solution

The fourth proportional to 408.65, 613.04 and 120.11 is: 180.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.65 : 613.04 = 120.11 : x
  2. Step 2: Convert to fraction form
    408.65/613.04 = 120.11/x
  3. Step 3: Cross multiply
    408.65x = 613.04 × 120.11
  4. Step 4: Simplify right side
    408.65x = 73,628.57
  5. Step 5: Solve for x
    x = 73,628.57/408.65
  6. Step 6: Final answer
    x = 180.18

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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.