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Finding the Fourth Proportional to 428.44, 591.22 and 241.94

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Solution

The fourth proportional to 428.44, 591.22 and 241.94 is: 333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.44 : 591.22 = 241.94 : x
  2. Step 2: Convert to fraction form
    428.44/591.22 = 241.94/x
  3. Step 3: Cross multiply
    428.44x = 591.22 × 241.94
  4. Step 4: Simplify right side
    428.44x = 143,039.77
  5. Step 5: Solve for x
    x = 143,039.77/428.44
  6. Step 6: Final answer
    x = 333.86

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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.