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Finding the Fourth Proportional to 644.77, 966.74 and 356.41

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Solution

The fourth proportional to 644.77, 966.74 and 356.41 is: 534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.77 : 966.74 = 356.41 : x
  2. Step 2: Convert to fraction form
    644.77/966.74 = 356.41/x
  3. Step 3: Cross multiply
    644.77x = 966.74 × 356.41
  4. Step 4: Simplify right side
    644.77x = 344,550.97
  5. Step 5: Solve for x
    x = 344,550.97/644.77
  6. Step 6: Final answer
    x = 534.38

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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.