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Finding the Fourth Proportional to 618.44, 927.71 and 228.54

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Solution

The fourth proportional to 618.44, 927.71 and 228.54 is: 342.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.44 : 927.71 = 228.54 : x
  2. Step 2: Convert to fraction form
    618.44/927.71 = 228.54/x
  3. Step 3: Cross multiply
    618.44x = 927.71 × 228.54
  4. Step 4: Simplify right side
    618.44x = 212,018.10
  5. Step 5: Solve for x
    x = 212,018.10/618.44
  6. Step 6: Final answer
    x = 342.83

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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.