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Finding the Fourth Proportional to 644.70, 967.43 and 385.34

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Solution

The fourth proportional to 644.70, 967.43 and 385.34 is: 578.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.70 : 967.43 = 385.34 : x
  2. Step 2: Convert to fraction form
    644.70/967.43 = 385.34/x
  3. Step 3: Cross multiply
    644.70x = 967.43 × 385.34
  4. Step 4: Simplify right side
    644.70x = 372,782.71
  5. Step 5: Solve for x
    x = 372,782.71/644.70
  6. Step 6: Final answer
    x = 578.23

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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.