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Finding the Fourth Proportional to 414.57, 621.87 and 106.43

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Solution

The fourth proportional to 414.57, 621.87 and 106.43 is: 159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.57 : 621.87 = 106.43 : x
  2. Step 2: Convert to fraction form
    414.57/621.87 = 106.43/x
  3. Step 3: Cross multiply
    414.57x = 621.87 × 106.43
  4. Step 4: Simplify right side
    414.57x = 66,182.12
  5. Step 5: Solve for x
    x = 66,182.12/414.57
  6. Step 6: Final answer
    x = 159.64

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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.