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Finding the Fourth Proportional to 275.48, 382.83 and 272.04

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Solution

The fourth proportional to 275.48, 382.83 and 272.04 is: 378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.48 : 382.83 = 272.04 : x
  2. Step 2: Convert to fraction form
    275.48/382.83 = 272.04/x
  3. Step 3: Cross multiply
    275.48x = 382.83 × 272.04
  4. Step 4: Simplify right side
    275.48x = 104,146.09
  5. Step 5: Solve for x
    x = 104,146.09/275.48
  6. Step 6: Final answer
    x = 378.05

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.