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Finding the Fourth Proportional to 414.02, 620.83 and 140.04

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Solution

The fourth proportional to 414.02, 620.83 and 140.04 is: 209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.02 : 620.83 = 140.04 : x
  2. Step 2: Convert to fraction form
    414.02/620.83 = 140.04/x
  3. Step 3: Cross multiply
    414.02x = 620.83 × 140.04
  4. Step 4: Simplify right side
    414.02x = 86,941.21
  5. Step 5: Solve for x
    x = 86,941.21/414.02
  6. Step 6: Final answer
    x = 209.99

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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.