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Finding the Fourth Proportional to 428.48, 642.44 and 235.84

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Solution

The fourth proportional to 428.48, 642.44 and 235.84 is: 353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.48 : 642.44 = 235.84 : x
  2. Step 2: Convert to fraction form
    428.48/642.44 = 235.84/x
  3. Step 3: Cross multiply
    428.48x = 642.44 × 235.84
  4. Step 4: Simplify right side
    428.48x = 151,513.05
  5. Step 5: Solve for x
    x = 151,513.05/428.48
  6. Step 6: Final answer
    x = 353.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.