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Finding the Fourth Proportional to 416.48, 574.74 and 241.82

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Solution

The fourth proportional to 416.48, 574.74 and 241.82 is: 333.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.48 : 574.74 = 241.82 : x
  2. Step 2: Convert to fraction form
    416.48/574.74 = 241.82/x
  3. Step 3: Cross multiply
    416.48x = 574.74 × 241.82
  4. Step 4: Simplify right side
    416.48x = 138,983.63
  5. Step 5: Solve for x
    x = 138,983.63/416.48
  6. Step 6: Final answer
    x = 333.71

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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.