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Finding the Fourth Proportional to 644.73, 965.77 and 435.85

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Solution

The fourth proportional to 644.73, 965.77 and 435.85 is: 652.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.73 : 965.77 = 435.85 : x
  2. Step 2: Convert to fraction form
    644.73/965.77 = 435.85/x
  3. Step 3: Cross multiply
    644.73x = 965.77 × 435.85
  4. Step 4: Simplify right side
    644.73x = 420,930.85
  5. Step 5: Solve for x
    x = 420,930.85/644.73
  6. Step 6: Final answer
    x = 652.88

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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.