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Finding the Fourth Proportional to 397.29, 548.60 and 266.38

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Solution

The fourth proportional to 397.29, 548.60 and 266.38 is: 367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.29 : 548.60 = 266.38 : x
  2. Step 2: Convert to fraction form
    397.29/548.60 = 266.38/x
  3. Step 3: Cross multiply
    397.29x = 548.60 × 266.38
  4. Step 4: Simplify right side
    397.29x = 146,136.07
  5. Step 5: Solve for x
    x = 146,136.07/397.29
  6. Step 6: Final answer
    x = 367.83

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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.