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Finding the Fourth Proportional to 416.17, 574.27 and 241.48

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Solution

The fourth proportional to 416.17, 574.27 and 241.48 is: 333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.17 : 574.27 = 241.48 : x
  2. Step 2: Convert to fraction form
    416.17/574.27 = 241.48/x
  3. Step 3: Cross multiply
    416.17x = 574.27 × 241.48
  4. Step 4: Simplify right side
    416.17x = 138,674.72
  5. Step 5: Solve for x
    x = 138,674.72/416.17
  6. Step 6: Final answer
    x = 333.22

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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.