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Finding the Fourth Proportional to 618.78, 852.74 and 443.82

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Solution

The fourth proportional to 618.78, 852.74 and 443.82 is: 611.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.78 : 852.74 = 443.82 : x
  2. Step 2: Convert to fraction form
    618.78/852.74 = 443.82/x
  3. Step 3: Cross multiply
    618.78x = 852.74 × 443.82
  4. Step 4: Simplify right side
    618.78x = 378,463.07
  5. Step 5: Solve for x
    x = 378,463.07/618.78
  6. Step 6: Final answer
    x = 611.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.