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Finding the Fourth Proportional to 638.94, 957.66 and 273.38

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Solution

The fourth proportional to 638.94, 957.66 and 273.38 is: 409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.94 : 957.66 = 273.38 : x
  2. Step 2: Convert to fraction form
    638.94/957.66 = 273.38/x
  3. Step 3: Cross multiply
    638.94x = 957.66 × 273.38
  4. Step 4: Simplify right side
    638.94x = 261,805.09
  5. Step 5: Solve for x
    x = 261,805.09/638.94
  6. Step 6: Final answer
    x = 409.75

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Why These Related Problems?

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