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Finding the Fourth Proportional to 277.92, 414.24 and 276.96

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Solution

The fourth proportional to 277.92, 414.24 and 276.96 is: 412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.92 : 414.24 = 276.96 : x
  2. Step 2: Convert to fraction form
    277.92/414.24 = 276.96/x
  3. Step 3: Cross multiply
    277.92x = 414.24 × 276.96
  4. Step 4: Simplify right side
    277.92x = 114,727.91
  5. Step 5: Solve for x
    x = 114,727.91/277.92
  6. Step 6: Final answer
    x = 412.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.