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Finding the Fourth Proportional to 416.64, 574.74 and 241.86

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Solution

The fourth proportional to 416.64, 574.74 and 241.86 is: 333.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.64 : 574.74 = 241.86 : x
  2. Step 2: Convert to fraction form
    416.64/574.74 = 241.86/x
  3. Step 3: Cross multiply
    416.64x = 574.74 × 241.86
  4. Step 4: Simplify right side
    416.64x = 139,006.62
  5. Step 5: Solve for x
    x = 139,006.62/416.64
  6. Step 6: Final answer
    x = 333.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.