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Finding the Fourth Proportional to 287.32, 396.84 and 238.84

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Solution

The fourth proportional to 287.32, 396.84 and 238.84 is: 329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.32 : 396.84 = 238.84 : x
  2. Step 2: Convert to fraction form
    287.32/396.84 = 238.84/x
  3. Step 3: Cross multiply
    287.32x = 396.84 × 238.84
  4. Step 4: Simplify right side
    287.32x = 94,781.27
  5. Step 5: Solve for x
    x = 94,781.27/287.32
  6. Step 6: Final answer
    x = 329.88

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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.