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Finding the Fourth Proportional to 414.02, 620.99 and 121.51

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Solution

The fourth proportional to 414.02, 620.99 and 121.51 is: 182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.02 : 620.99 = 121.51 : x
  2. Step 2: Convert to fraction form
    414.02/620.99 = 121.51/x
  3. Step 3: Cross multiply
    414.02x = 620.99 × 121.51
  4. Step 4: Simplify right side
    414.02x = 75,454.31
  5. Step 5: Solve for x
    x = 75,454.31/414.02
  6. Step 6: Final answer
    x = 182.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.