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Finding the Fourth Proportional to 428.41, 642.07 and 423.82

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Solution

The fourth proportional to 428.41, 642.07 and 423.82 is: 635.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.41 : 642.07 = 423.82 : x
  2. Step 2: Convert to fraction form
    428.41/642.07 = 423.82/x
  3. Step 3: Cross multiply
    428.41x = 642.07 × 423.82
  4. Step 4: Simplify right side
    428.41x = 272,122.11
  5. Step 5: Solve for x
    x = 272,122.11/428.41
  6. Step 6: Final answer
    x = 635.19

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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.