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Finding the Fourth Proportional to 276.68, 379.54 and 254.78

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Solution

The fourth proportional to 276.68, 379.54 and 254.78 is: 349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.68 : 379.54 = 254.78 : x
  2. Step 2: Convert to fraction form
    276.68/379.54 = 254.78/x
  3. Step 3: Cross multiply
    276.68x = 379.54 × 254.78
  4. Step 4: Simplify right side
    276.68x = 96,699.20
  5. Step 5: Solve for x
    x = 96,699.20/276.68
  6. Step 6: Final answer
    x = 349.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.