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Finding the Fourth Proportional to 533.80, 796.40 and 475.33

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Solution

The fourth proportional to 533.80, 796.40 and 475.33 is: 709.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.80 : 796.40 = 475.33 : x
  2. Step 2: Convert to fraction form
    533.80/796.40 = 475.33/x
  3. Step 3: Cross multiply
    533.80x = 796.40 × 475.33
  4. Step 4: Simplify right side
    533.80x = 378,552.81
  5. Step 5: Solve for x
    x = 378,552.81/533.80
  6. Step 6: Final answer
    x = 709.17

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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.