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Finding the Fourth Proportional to 382.89, 527.84 and 272.33

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Solution

The fourth proportional to 382.89, 527.84 and 272.33 is: 375.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.89 : 527.84 = 272.33 : x
  2. Step 2: Convert to fraction form
    382.89/527.84 = 272.33/x
  3. Step 3: Cross multiply
    382.89x = 527.84 × 272.33
  4. Step 4: Simplify right side
    382.89x = 143,742.67
  5. Step 5: Solve for x
    x = 143,742.67/382.89
  6. Step 6: Final answer
    x = 375.42

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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.