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Finding the Fourth Proportional to 273.41, 377.49 and 255.98

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Solution

The fourth proportional to 273.41, 377.49 and 255.98 is: 353.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.41 : 377.49 = 255.98 : x
  2. Step 2: Convert to fraction form
    273.41/377.49 = 255.98/x
  3. Step 3: Cross multiply
    273.41x = 377.49 × 255.98
  4. Step 4: Simplify right side
    273.41x = 96,627.67
  5. Step 5: Solve for x
    x = 96,627.67/273.41
  6. Step 6: Final answer
    x = 353.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.