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Finding the Fourth Proportional to 416.56, 574.84 and 241.90

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Solution

The fourth proportional to 416.56, 574.84 and 241.90 is: 333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.56 : 574.84 = 241.90 : x
  2. Step 2: Convert to fraction form
    416.56/574.84 = 241.90/x
  3. Step 3: Cross multiply
    416.56x = 574.84 × 241.90
  4. Step 4: Simplify right side
    416.56x = 139,053.80
  5. Step 5: Solve for x
    x = 139,053.80/416.56
  6. Step 6: Final answer
    x = 333.81

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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.