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Finding the Fourth Proportional to 618.57, 927.90 and 207.81

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Solution

The fourth proportional to 618.57, 927.90 and 207.81 is: 311.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.57 : 927.90 = 207.81 : x
  2. Step 2: Convert to fraction form
    618.57/927.90 = 207.81/x
  3. Step 3: Cross multiply
    618.57x = 927.90 × 207.81
  4. Step 4: Simplify right side
    618.57x = 192,826.90
  5. Step 5: Solve for x
    x = 192,826.90/618.57
  6. Step 6: Final answer
    x = 311.73

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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.