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Finding the Fourth Proportional to 414.50, 571.94 and 267.33

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Solution

The fourth proportional to 414.50, 571.94 and 267.33 is: 368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.50 : 571.94 = 267.33 : x
  2. Step 2: Convert to fraction form
    414.50/571.94 = 267.33/x
  3. Step 3: Cross multiply
    414.50x = 571.94 × 267.33
  4. Step 4: Simplify right side
    414.50x = 152,895.31
  5. Step 5: Solve for x
    x = 152,895.31/414.50
  6. Step 6: Final answer
    x = 368.87

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