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Finding the Fourth Proportional to 618.88, 927.78 and 253.44

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Solution

The fourth proportional to 618.88, 927.78 and 253.44 is: 379.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.88 : 927.78 = 253.44 : x
  2. Step 2: Convert to fraction form
    618.88/927.78 = 253.44/x
  3. Step 3: Cross multiply
    618.88x = 927.78 × 253.44
  4. Step 4: Simplify right side
    618.88x = 235,136.56
  5. Step 5: Solve for x
    x = 235,136.56/618.88
  6. Step 6: Final answer
    x = 379.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.