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Finding the Fourth Proportional to 427.67, 642.71 and 254.37

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Solution

The fourth proportional to 427.67, 642.71 and 254.37 is: 382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.67 : 642.71 = 254.37 : x
  2. Step 2: Convert to fraction form
    427.67/642.71 = 254.37/x
  3. Step 3: Cross multiply
    427.67x = 642.71 × 254.37
  4. Step 4: Simplify right side
    427.67x = 163,486.14
  5. Step 5: Solve for x
    x = 163,486.14/427.67
  6. Step 6: Final answer
    x = 382.27

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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.