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Finding the Fourth Proportional to 414.33, 621.52 and 140.42

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Solution

The fourth proportional to 414.33, 621.52 and 140.42 is: 210.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.33 : 621.52 = 140.42 : x
  2. Step 2: Convert to fraction form
    414.33/621.52 = 140.42/x
  3. Step 3: Cross multiply
    414.33x = 621.52 × 140.42
  4. Step 4: Simplify right side
    414.33x = 87,273.84
  5. Step 5: Solve for x
    x = 87,273.84/414.33
  6. Step 6: Final answer
    x = 210.64

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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.