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Finding the Fourth Proportional to 427.97, 642.16 and 232.96

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Solution

The fourth proportional to 427.97, 642.16 and 232.96 is: 349.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.97 : 642.16 = 232.96 : x
  2. Step 2: Convert to fraction form
    427.97/642.16 = 232.96/x
  3. Step 3: Cross multiply
    427.97x = 642.16 × 232.96
  4. Step 4: Simplify right side
    427.97x = 149,596.43
  5. Step 5: Solve for x
    x = 149,596.43/427.97
  6. Step 6: Final answer
    x = 349.55

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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.