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Finding the Fourth Proportional to 618.54, 927.64 and 253.23

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Solution

The fourth proportional to 618.54, 927.64 and 253.23 is: 379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.54 : 927.64 = 253.23 : x
  2. Step 2: Convert to fraction form
    618.54/927.64 = 253.23/x
  3. Step 3: Cross multiply
    618.54x = 927.64 × 253.23
  4. Step 4: Simplify right side
    618.54x = 234,906.28
  5. Step 5: Solve for x
    x = 234,906.28/618.54
  6. Step 6: Final answer
    x = 379.78

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Why These Related Problems?

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