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Finding the Fourth Proportional to 618.89, 927.12 and 309.83

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Solution

The fourth proportional to 618.89, 927.12 and 309.83 is: 464.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.89 : 927.12 = 309.83 : x
  2. Step 2: Convert to fraction form
    618.89/927.12 = 309.83/x
  3. Step 3: Cross multiply
    618.89x = 927.12 × 309.83
  4. Step 4: Simplify right side
    618.89x = 287,250.46
  5. Step 5: Solve for x
    x = 287,250.46/618.89
  6. Step 6: Final answer
    x = 464.14

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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.