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Finding the Fourth Proportional to 382.50, 527.64 and 272.14

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Solution

The fourth proportional to 382.50, 527.64 and 272.14 is: 375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.50 : 527.64 = 272.14 : x
  2. Step 2: Convert to fraction form
    382.50/527.64 = 272.14/x
  3. Step 3: Cross multiply
    382.50x = 527.64 × 272.14
  4. Step 4: Simplify right side
    382.50x = 143,591.95
  5. Step 5: Solve for x
    x = 143,591.95/382.50
  6. Step 6: Final answer
    x = 375.40

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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.