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Finding the Fourth Proportional to 414.23, 621.44 and 121.74

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Solution

The fourth proportional to 414.23, 621.44 and 121.74 is: 182.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.23 : 621.44 = 121.74 : x
  2. Step 2: Convert to fraction form
    414.23/621.44 = 121.74/x
  3. Step 3: Cross multiply
    414.23x = 621.44 × 121.74
  4. Step 4: Simplify right side
    414.23x = 75,654.11
  5. Step 5: Solve for x
    x = 75,654.11/414.23
  6. Step 6: Final answer
    x = 182.64

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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.