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Finding the Fourth Proportional to 416.09, 574.22 and 241.45

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Solution

The fourth proportional to 416.09, 574.22 and 241.45 is: 333.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.09 : 574.22 = 241.45 : x
  2. Step 2: Convert to fraction form
    416.09/574.22 = 241.45/x
  3. Step 3: Cross multiply
    416.09x = 574.22 × 241.45
  4. Step 4: Simplify right side
    416.09x = 138,645.42
  5. Step 5: Solve for x
    x = 138,645.42/416.09
  6. Step 6: Final answer
    x = 333.21

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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.