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Finding the Fourth Proportional to 416.29, 574.52 and 241.63

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Solution

The fourth proportional to 416.29, 574.52 and 241.63 is: 333.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.29 : 574.52 = 241.63 : x
  2. Step 2: Convert to fraction form
    416.29/574.52 = 241.63/x
  3. Step 3: Cross multiply
    416.29x = 574.52 × 241.63
  4. Step 4: Simplify right side
    416.29x = 138,821.27
  5. Step 5: Solve for x
    x = 138,821.27/416.29
  6. Step 6: Final answer
    x = 333.47

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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.