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Finding the Fourth Proportional to 416.21, 574.44 and 241.70

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Solution

The fourth proportional to 416.21, 574.44 and 241.70 is: 333.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.21 : 574.44 = 241.70 : x
  2. Step 2: Convert to fraction form
    416.21/574.44 = 241.70/x
  3. Step 3: Cross multiply
    416.21x = 574.44 × 241.70
  4. Step 4: Simplify right side
    416.21x = 138,842.15
  5. Step 5: Solve for x
    x = 138,842.15/416.21
  6. Step 6: Final answer
    x = 333.59

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Why These Related Problems?

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