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Finding the Fourth Proportional to 533.64, 799.90 and 208.56

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Solution

The fourth proportional to 533.64, 799.90 and 208.56 is: 312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.64 : 799.90 = 208.56 : x
  2. Step 2: Convert to fraction form
    533.64/799.90 = 208.56/x
  3. Step 3: Cross multiply
    533.64x = 799.90 × 208.56
  4. Step 4: Simplify right side
    533.64x = 166,827.14
  5. Step 5: Solve for x
    x = 166,827.14/533.64
  6. Step 6: Final answer
    x = 312.62

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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.