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Finding the Fourth Proportional to 414.57, 621.89 and 140.68

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Solution

The fourth proportional to 414.57, 621.89 and 140.68 is: 211.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.57 : 621.89 = 140.68 : x
  2. Step 2: Convert to fraction form
    414.57/621.89 = 140.68/x
  3. Step 3: Cross multiply
    414.57x = 621.89 × 140.68
  4. Step 4: Simplify right side
    414.57x = 87,483.67
  5. Step 5: Solve for x
    x = 87,483.67/414.57
  6. Step 6: Final answer
    x = 211.03

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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.