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Finding the Fourth Proportional to 618.44, 927.68 and 253.23

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Solution

The fourth proportional to 618.44, 927.68 and 253.23 is: 379.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.44 : 927.68 = 253.23 : x
  2. Step 2: Convert to fraction form
    618.44/927.68 = 253.23/x
  3. Step 3: Cross multiply
    618.44x = 927.68 × 253.23
  4. Step 4: Simplify right side
    618.44x = 234,915.14
  5. Step 5: Solve for x
    x = 234,915.14/618.44
  6. Step 6: Final answer
    x = 379.85

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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.