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Finding the Fourth Proportional to 414.28, 621.06 and 170.64

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Solution

The fourth proportional to 414.28, 621.06 and 170.64 is: 255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.28 : 621.06 = 170.64 : x
  2. Step 2: Convert to fraction form
    414.28/621.06 = 170.64/x
  3. Step 3: Cross multiply
    414.28x = 621.06 × 170.64
  4. Step 4: Simplify right side
    414.28x = 105,974.57
  5. Step 5: Solve for x
    x = 105,974.57/414.28
  6. Step 6: Final answer
    x = 255.80

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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.