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Finding the Fourth Proportional to 428.90, 591.84 and 254.22

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Solution

The fourth proportional to 428.90, 591.84 and 254.22 is: 350.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.90 : 591.84 = 254.22 : x
  2. Step 2: Convert to fraction form
    428.90/591.84 = 254.22/x
  3. Step 3: Cross multiply
    428.90x = 591.84 × 254.22
  4. Step 4: Simplify right side
    428.90x = 150,457.56
  5. Step 5: Solve for x
    x = 150,457.56/428.90
  6. Step 6: Final answer
    x = 350.80

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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.