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Finding the Fourth Proportional to 618.60, 927.83 and 271.76

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Solution

The fourth proportional to 618.60, 927.83 and 271.76 is: 407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.60 : 927.83 = 271.76 : x
  2. Step 2: Convert to fraction form
    618.60/927.83 = 271.76/x
  3. Step 3: Cross multiply
    618.60x = 927.83 × 271.76
  4. Step 4: Simplify right side
    618.60x = 252,141.08
  5. Step 5: Solve for x
    x = 252,141.08/618.60
  6. Step 6: Final answer
    x = 407.60

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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.