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Finding the Fourth Proportional to 644.19, 965.62 and 254.03

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Solution

The fourth proportional to 644.19, 965.62 and 254.03 is: 380.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.19 : 965.62 = 254.03 : x
  2. Step 2: Convert to fraction form
    644.19/965.62 = 254.03/x
  3. Step 3: Cross multiply
    644.19x = 965.62 × 254.03
  4. Step 4: Simplify right side
    644.19x = 245,296.45
  5. Step 5: Solve for x
    x = 245,296.45/644.19
  6. Step 6: Final answer
    x = 380.78

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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.