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Finding the Fourth Proportional to 638.39, 957.26 and 272.97

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Solution

The fourth proportional to 638.39, 957.26 and 272.97 is: 409.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.39 : 957.26 = 272.97 : x
  2. Step 2: Convert to fraction form
    638.39/957.26 = 272.97/x
  3. Step 3: Cross multiply
    638.39x = 957.26 × 272.97
  4. Step 4: Simplify right side
    638.39x = 261,301.90
  5. Step 5: Solve for x
    x = 261,301.90/638.39
  6. Step 6: Final answer
    x = 409.32

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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.