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Finding the Fourth Proportional to 644.80, 890.46 and 535.44

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Solution

The fourth proportional to 644.80, 890.46 and 535.44 is: 739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.80 : 890.46 = 535.44 : x
  2. Step 2: Convert to fraction form
    644.80/890.46 = 535.44/x
  3. Step 3: Cross multiply
    644.80x = 890.46 × 535.44
  4. Step 4: Simplify right side
    644.80x = 476,787.90
  5. Step 5: Solve for x
    x = 476,787.90/644.80
  6. Step 6: Final answer
    x = 739.44

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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.