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Finding the Fourth Proportional to 414.56, 571.97 and 267.24

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Solution

The fourth proportional to 414.56, 571.97 and 267.24 is: 368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.56 : 571.97 = 267.24 : x
  2. Step 2: Convert to fraction form
    414.56/571.97 = 267.24/x
  3. Step 3: Cross multiply
    414.56x = 571.97 × 267.24
  4. Step 4: Simplify right side
    414.56x = 152,851.93
  5. Step 5: Solve for x
    x = 152,851.93/414.56
  6. Step 6: Final answer
    x = 368.71

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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.