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Finding the Fourth Proportional to 414.88, 622.94 and 232.64

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Solution

The fourth proportional to 414.88, 622.94 and 232.64 is: 349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.88 : 622.94 = 232.64 : x
  2. Step 2: Convert to fraction form
    414.88/622.94 = 232.64/x
  3. Step 3: Cross multiply
    414.88x = 622.94 × 232.64
  4. Step 4: Simplify right side
    414.88x = 144,920.76
  5. Step 5: Solve for x
    x = 144,920.76/414.88
  6. Step 6: Final answer
    x = 349.31

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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.