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Finding the Fourth Proportional to 414.31, 620.93 and 170.50

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Solution

The fourth proportional to 414.31, 620.93 and 170.50 is: 255.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.31 : 620.93 = 170.50 : x
  2. Step 2: Convert to fraction form
    414.31/620.93 = 170.50/x
  3. Step 3: Cross multiply
    414.31x = 620.93 × 170.50
  4. Step 4: Simplify right side
    414.31x = 105,867.71
  5. Step 5: Solve for x
    x = 105,867.71/414.31
  6. Step 6: Final answer
    x = 255.53

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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.