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Finding the Fourth Proportional to 644.26, 965.78 and 319.45

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Solution

The fourth proportional to 644.26, 965.78 and 319.45 is: 478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.26 : 965.78 = 319.45 : x
  2. Step 2: Convert to fraction form
    644.26/965.78 = 319.45/x
  3. Step 3: Cross multiply
    644.26x = 965.78 × 319.45
  4. Step 4: Simplify right side
    644.26x = 308,516.82
  5. Step 5: Solve for x
    x = 308,516.82/644.26
  6. Step 6: Final answer
    x = 478.87

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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.