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Finding the Fourth Proportional to 638.14, 956.63 and 227.06

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Solution

The fourth proportional to 638.14, 956.63 and 227.06 is: 340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.14 : 956.63 = 227.06 : x
  2. Step 2: Convert to fraction form
    638.14/956.63 = 227.06/x
  3. Step 3: Cross multiply
    638.14x = 956.63 × 227.06
  4. Step 4: Simplify right side
    638.14x = 217,206.49
  5. Step 5: Solve for x
    x = 217,206.49/638.14
  6. Step 6: Final answer
    x = 340.38

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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.