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Finding the Fourth Proportional to 277.67, 416.78 and 217.46

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Solution

The fourth proportional to 277.67, 416.78 and 217.46 is: 326.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.67 : 416.78 = 217.46 : x
  2. Step 2: Convert to fraction form
    277.67/416.78 = 217.46/x
  3. Step 3: Cross multiply
    277.67x = 416.78 × 217.46
  4. Step 4: Simplify right side
    277.67x = 90,632.98
  5. Step 5: Solve for x
    x = 90,632.98/277.67
  6. Step 6: Final answer
    x = 326.41

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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.