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Finding the Fourth Proportional to 428.40, 638.61 and 423.54

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Solution

The fourth proportional to 428.40, 638.61 and 423.54 is: 631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.40 : 638.61 = 423.54 : x
  2. Step 2: Convert to fraction form
    428.40/638.61 = 423.54/x
  3. Step 3: Cross multiply
    428.40x = 638.61 × 423.54
  4. Step 4: Simplify right side
    428.40x = 270,476.88
  5. Step 5: Solve for x
    x = 270,476.88/428.40
  6. Step 6: Final answer
    x = 631.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.