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Finding the Fourth Proportional to 416.08, 573.26 and 349.44

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Solution

The fourth proportional to 416.08, 573.26 and 349.44 is: 481.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.08 : 573.26 = 349.44 : x
  2. Step 2: Convert to fraction form
    416.08/573.26 = 349.44/x
  3. Step 3: Cross multiply
    416.08x = 573.26 × 349.44
  4. Step 4: Simplify right side
    416.08x = 200,319.97
  5. Step 5: Solve for x
    x = 200,319.97/416.08
  6. Step 6: Final answer
    x = 481.45

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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.