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Finding the Fourth Proportional to 533.14, 799.38 and 208.13

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Solution

The fourth proportional to 533.14, 799.38 and 208.13 is: 312.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.14 : 799.38 = 208.13 : x
  2. Step 2: Convert to fraction form
    533.14/799.38 = 208.13/x
  3. Step 3: Cross multiply
    533.14x = 799.38 × 208.13
  4. Step 4: Simplify right side
    533.14x = 166,370.96
  5. Step 5: Solve for x
    x = 166,370.96/533.14
  6. Step 6: Final answer
    x = 312.06

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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.