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Finding the Fourth Proportional to 427.38, 642.26 and 254.07

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Solution

The fourth proportional to 427.38, 642.26 and 254.07 is: 381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.38 : 642.26 = 254.07 : x
  2. Step 2: Convert to fraction form
    427.38/642.26 = 254.07/x
  3. Step 3: Cross multiply
    427.38x = 642.26 × 254.07
  4. Step 4: Simplify right side
    427.38x = 163,179.63
  5. Step 5: Solve for x
    x = 163,179.63/427.38
  6. Step 6: Final answer
    x = 381.82

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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.