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Finding the Fourth Proportional to 533.93, 796.46 and 447.84

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Solution

The fourth proportional to 533.93, 796.46 and 447.84 is: 668.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.93 : 796.46 = 447.84 : x
  2. Step 2: Convert to fraction form
    533.93/796.46 = 447.84/x
  3. Step 3: Cross multiply
    533.93x = 796.46 × 447.84
  4. Step 4: Simplify right side
    533.93x = 356,684.41
  5. Step 5: Solve for x
    x = 356,684.41/533.93
  6. Step 6: Final answer
    x = 668.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.