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Finding the Fourth Proportional to 618.60, 927.22 and 309.84

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Solution

The fourth proportional to 618.60, 927.22 and 309.84 is: 464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.60 : 927.22 = 309.84 : x
  2. Step 2: Convert to fraction form
    618.60/927.22 = 309.84/x
  3. Step 3: Cross multiply
    618.60x = 927.22 × 309.84
  4. Step 4: Simplify right side
    618.60x = 287,289.84
  5. Step 5: Solve for x
    x = 287,289.84/618.60
  6. Step 6: Final answer
    x = 464.42

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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.