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Finding the Fourth Proportional to 414, 571.44 and 276

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Solution

The fourth proportional to 414, 571.44 and 276 is: 380.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414 : 571.44 = 276 : x
  2. Step 2: Convert to fraction form
    414/571.44 = 276/x
  3. Step 3: Cross multiply
    414x = 571.44 × 276
  4. Step 4: Simplify right side
    414x = 157,717.44
  5. Step 5: Solve for x
    x = 157,717.44/414
  6. Step 6: Final answer
    x = 380.96

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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.