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Finding the Fourth Proportional to 278.37, 418.37 and 270.68

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Solution

The fourth proportional to 278.37, 418.37 and 270.68 is: 406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.37 : 418.37 = 270.68 : x
  2. Step 2: Convert to fraction form
    278.37/418.37 = 270.68/x
  3. Step 3: Cross multiply
    278.37x = 418.37 × 270.68
  4. Step 4: Simplify right side
    278.37x = 113,240.95
  5. Step 5: Solve for x
    x = 113,240.95/278.37
  6. Step 6: Final answer
    x = 406.80

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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.