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Finding the Fourth Proportional to 277.89, 416.22 and 268.80

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Solution

The fourth proportional to 277.89, 416.22 and 268.80 is: 402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.89 : 416.22 = 268.80 : x
  2. Step 2: Convert to fraction form
    277.89/416.22 = 268.80/x
  3. Step 3: Cross multiply
    277.89x = 416.22 × 268.80
  4. Step 4: Simplify right side
    277.89x = 111,879.94
  5. Step 5: Solve for x
    x = 111,879.94/277.89
  6. Step 6: Final answer
    x = 402.61

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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.