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Finding the Fourth Proportional to 414.05, 571.26 and 266.42

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Solution

The fourth proportional to 414.05, 571.26 and 266.42 is: 367.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.05 : 571.26 = 266.42 : x
  2. Step 2: Convert to fraction form
    414.05/571.26 = 266.42/x
  3. Step 3: Cross multiply
    414.05x = 571.26 × 266.42
  4. Step 4: Simplify right side
    414.05x = 152,195.09
  5. Step 5: Solve for x
    x = 152,195.09/414.05
  6. Step 6: Final answer
    x = 367.58

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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.