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Finding the Fourth Proportional to 644.42, 889.31 and 382.61

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Solution

The fourth proportional to 644.42, 889.31 and 382.61 is: 528.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.42 : 889.31 = 382.61 : x
  2. Step 2: Convert to fraction form
    644.42/889.31 = 382.61/x
  3. Step 3: Cross multiply
    644.42x = 889.31 × 382.61
  4. Step 4: Simplify right side
    644.42x = 340,258.90
  5. Step 5: Solve for x
    x = 340,258.90/644.42
  6. Step 6: Final answer
    x = 528.01

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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.