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Finding the Fourth Proportional to 414.01, 620.58 and 170.20

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Solution

The fourth proportional to 414.01, 620.58 and 170.20 is: 255.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.01 : 620.58 = 170.20 : x
  2. Step 2: Convert to fraction form
    414.01/620.58 = 170.20/x
  3. Step 3: Cross multiply
    414.01x = 620.58 × 170.20
  4. Step 4: Simplify right side
    414.01x = 105,622.72
  5. Step 5: Solve for x
    x = 105,622.72/414.01
  6. Step 6: Final answer
    x = 255.12

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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.