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Finding the Fourth Proportional to 416.49, 574.78 and 241.83

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Solution

The fourth proportional to 416.49, 574.78 and 241.83 is: 333.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.49 : 574.78 = 241.83 : x
  2. Step 2: Convert to fraction form
    416.49/574.78 = 241.83/x
  3. Step 3: Cross multiply
    416.49x = 574.78 × 241.83
  4. Step 4: Simplify right side
    416.49x = 138,999.35
  5. Step 5: Solve for x
    x = 138,999.35/416.49
  6. Step 6: Final answer
    x = 333.74

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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.