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Finding the Fourth Proportional to 618.13, 926.66 and 252.68

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Solution

The fourth proportional to 618.13, 926.66 and 252.68 is: 378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.13 : 926.66 = 252.68 : x
  2. Step 2: Convert to fraction form
    618.13/926.66 = 252.68/x
  3. Step 3: Cross multiply
    618.13x = 926.66 × 252.68
  4. Step 4: Simplify right side
    618.13x = 234,151.40
  5. Step 5: Solve for x
    x = 234,151.40/618.13
  6. Step 6: Final answer
    x = 378.81

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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.