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Finding the Fourth Proportional to 428.56, 590.96 and 394.80

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Solution

The fourth proportional to 428.56, 590.96 and 394.80 is: 544.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.56 : 590.96 = 394.80 : x
  2. Step 2: Convert to fraction form
    428.56/590.96 = 394.80/x
  3. Step 3: Cross multiply
    428.56x = 590.96 × 394.80
  4. Step 4: Simplify right side
    428.56x = 233,311.01
  5. Step 5: Solve for x
    x = 233,311.01/428.56
  6. Step 6: Final answer
    x = 544.41

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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.