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Finding the Fourth Proportional to 644.85, 889.85 and 382.82

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Solution

The fourth proportional to 644.85, 889.85 and 382.82 is: 528.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.85 : 889.85 = 382.82 : x
  2. Step 2: Convert to fraction form
    644.85/889.85 = 382.82/x
  3. Step 3: Cross multiply
    644.85x = 889.85 × 382.82
  4. Step 4: Simplify right side
    644.85x = 340,648.88
  5. Step 5: Solve for x
    x = 340,648.88/644.85
  6. Step 6: Final answer
    x = 528.26

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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.