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Finding the Fourth Proportional to 414.44, 621.65 and 140.39

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Solution

The fourth proportional to 414.44, 621.65 and 140.39 is: 210.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.44 : 621.65 = 140.39 : x
  2. Step 2: Convert to fraction form
    414.44/621.65 = 140.39/x
  3. Step 3: Cross multiply
    414.44x = 621.65 × 140.39
  4. Step 4: Simplify right side
    414.44x = 87,269.63
  5. Step 5: Solve for x
    x = 87,269.63/414.44
  6. Step 6: Final answer
    x = 210.57

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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.