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Finding the Fourth Proportional to 638.53, 957.27 and 273.27

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Solution

The fourth proportional to 638.53, 957.27 and 273.27 is: 409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.53 : 957.27 = 273.27 : x
  2. Step 2: Convert to fraction form
    638.53/957.27 = 273.27/x
  3. Step 3: Cross multiply
    638.53x = 957.27 × 273.27
  4. Step 4: Simplify right side
    638.53x = 261,593.17
  5. Step 5: Solve for x
    x = 261,593.17/638.53
  6. Step 6: Final answer
    x = 409.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.