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Finding the Fourth Proportional to 416.08, 574 and 241.32

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Solution

The fourth proportional to 416.08, 574 and 241.32 is: 332.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.08 : 574 = 241.32 : x
  2. Step 2: Convert to fraction form
    416.08/574 = 241.32/x
  3. Step 3: Cross multiply
    416.08x = 574 × 241.32
  4. Step 4: Simplify right side
    416.08x = 138,517.68
  5. Step 5: Solve for x
    x = 138,517.68/416.08
  6. Step 6: Final answer
    x = 332.91

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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.