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Finding the Fourth Proportional to 277.14, 414.48 and 269.84

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Solution

The fourth proportional to 277.14, 414.48 and 269.84 is: 403.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.14 : 414.48 = 269.84 : x
  2. Step 2: Convert to fraction form
    277.14/414.48 = 269.84/x
  3. Step 3: Cross multiply
    277.14x = 414.48 × 269.84
  4. Step 4: Simplify right side
    277.14x = 111,843.28
  5. Step 5: Solve for x
    x = 111,843.28/277.14
  6. Step 6: Final answer
    x = 403.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.