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Finding the Fourth Proportional to 278.84, 416.54 and 273.44

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Solution

The fourth proportional to 278.84, 416.54 and 273.44 is: 408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.84 : 416.54 = 273.44 : x
  2. Step 2: Convert to fraction form
    278.84/416.54 = 273.44/x
  3. Step 3: Cross multiply
    278.84x = 416.54 × 273.44
  4. Step 4: Simplify right side
    278.84x = 113,898.70
  5. Step 5: Solve for x
    x = 113,898.70/278.84
  6. Step 6: Final answer
    x = 408.47

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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.