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Finding the Fourth Proportional to 427.38, 639.47 and 254.14

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Solution

The fourth proportional to 427.38, 639.47 and 254.14 is: 380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.38 : 639.47 = 254.14 : x
  2. Step 2: Convert to fraction form
    427.38/639.47 = 254.14/x
  3. Step 3: Cross multiply
    427.38x = 639.47 × 254.14
  4. Step 4: Simplify right side
    427.38x = 162,513.23
  5. Step 5: Solve for x
    x = 162,513.23/427.38
  6. Step 6: Final answer
    x = 380.26

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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.