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Finding the Fourth Proportional to 286.89, 396.06 and 268.32

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Solution

The fourth proportional to 286.89, 396.06 and 268.32 is: 370.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.89 : 396.06 = 268.32 : x
  2. Step 2: Convert to fraction form
    286.89/396.06 = 268.32/x
  3. Step 3: Cross multiply
    286.89x = 396.06 × 268.32
  4. Step 4: Simplify right side
    286.89x = 106,270.82
  5. Step 5: Solve for x
    x = 106,270.82/286.89
  6. Step 6: Final answer
    x = 370.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.