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Finding the Fourth Proportional to 414.14, 571.32 and 266.72

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Solution

The fourth proportional to 414.14, 571.32 and 266.72 is: 367.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.14 : 571.32 = 266.72 : x
  2. Step 2: Convert to fraction form
    414.14/571.32 = 266.72/x
  3. Step 3: Cross multiply
    414.14x = 571.32 × 266.72
  4. Step 4: Simplify right side
    414.14x = 152,379.61
  5. Step 5: Solve for x
    x = 152,379.61/414.14
  6. Step 6: Final answer
    x = 367.95

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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.