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Finding the Fourth Proportional to 638.08, 957.23 and 227.13

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Solution

The fourth proportional to 638.08, 957.23 and 227.13 is: 340.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.08 : 957.23 = 227.13 : x
  2. Step 2: Convert to fraction form
    638.08/957.23 = 227.13/x
  3. Step 3: Cross multiply
    638.08x = 957.23 × 227.13
  4. Step 4: Simplify right side
    638.08x = 217,414.51
  5. Step 5: Solve for x
    x = 217,414.51/638.08
  6. Step 6: Final answer
    x = 340.73

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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.