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Finding the Fourth Proportional to 428.33, 642.43 and 154.37

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Solution

The fourth proportional to 428.33, 642.43 and 154.37 is: 231.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.33 : 642.43 = 154.37 : x
  2. Step 2: Convert to fraction form
    428.33/642.43 = 154.37/x
  3. Step 3: Cross multiply
    428.33x = 642.43 × 154.37
  4. Step 4: Simplify right side
    428.33x = 99,173.14
  5. Step 5: Solve for x
    x = 99,173.14/428.33
  6. Step 6: Final answer
    x = 231.54

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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.