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Finding the Fourth Proportional to 618.95, 927.62 and 463.65

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Solution

The fourth proportional to 618.95, 927.62 and 463.65 is: 694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.95 : 927.62 = 463.65 : x
  2. Step 2: Convert to fraction form
    618.95/927.62 = 463.65/x
  3. Step 3: Cross multiply
    618.95x = 927.62 × 463.65
  4. Step 4: Simplify right side
    618.95x = 430,091.01
  5. Step 5: Solve for x
    x = 430,091.01/618.95
  6. Step 6: Final answer
    x = 694.87

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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.