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Finding the Fourth Proportional to 414.60, 620.96 and 352.23

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Solution

The fourth proportional to 414.60, 620.96 and 352.23 is: 527.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.60 : 620.96 = 352.23 : x
  2. Step 2: Convert to fraction form
    414.60/620.96 = 352.23/x
  3. Step 3: Cross multiply
    414.60x = 620.96 × 352.23
  4. Step 4: Simplify right side
    414.60x = 218,718.98
  5. Step 5: Solve for x
    x = 218,718.98/414.60
  6. Step 6: Final answer
    x = 527.54

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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.