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Finding the Fourth Proportional to 644.62, 889.46 and 382.70

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Solution

The fourth proportional to 644.62, 889.46 and 382.70 is: 528.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.62 : 889.46 = 382.70 : x
  2. Step 2: Convert to fraction form
    644.62/889.46 = 382.70/x
  3. Step 3: Cross multiply
    644.62x = 889.46 × 382.70
  4. Step 4: Simplify right side
    644.62x = 340,396.34
  5. Step 5: Solve for x
    x = 340,396.34/644.62
  6. Step 6: Final answer
    x = 528.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.