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Finding the Fourth Proportional to 462.56, 638.36 and 266.09

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Solution

The fourth proportional to 462.56, 638.36 and 266.09 is: 367.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.56 : 638.36 = 266.09 : x
  2. Step 2: Convert to fraction form
    462.56/638.36 = 266.09/x
  3. Step 3: Cross multiply
    462.56x = 638.36 × 266.09
  4. Step 4: Simplify right side
    462.56x = 169,856.69
  5. Step 5: Solve for x
    x = 169,856.69/462.56
  6. Step 6: Final answer
    x = 367.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.