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Finding the Fourth Proportional to 618.80, 854.16 and 494.44

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Solution

The fourth proportional to 618.80, 854.16 and 494.44 is: 682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.80 : 854.16 = 494.44 : x
  2. Step 2: Convert to fraction form
    618.80/854.16 = 494.44/x
  3. Step 3: Cross multiply
    618.80x = 854.16 × 494.44
  4. Step 4: Simplify right side
    618.80x = 422,330.87
  5. Step 5: Solve for x
    x = 422,330.87/618.80
  6. Step 6: Final answer
    x = 682.50

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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.