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Finding the Fourth Proportional to 414.67, 622.05 and 154.75

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Solution

The fourth proportional to 414.67, 622.05 and 154.75 is: 232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.67 : 622.05 = 154.75 : x
  2. Step 2: Convert to fraction form
    414.67/622.05 = 154.75/x
  3. Step 3: Cross multiply
    414.67x = 622.05 × 154.75
  4. Step 4: Simplify right side
    414.67x = 96,262.24
  5. Step 5: Solve for x
    x = 96,262.24/414.67
  6. Step 6: Final answer
    x = 232.14

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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.