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Finding the Fourth Proportional to 533.14, 799.26 and 208.74

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Solution

The fourth proportional to 533.14, 799.26 and 208.74 is: 312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.14 : 799.26 = 208.74 : x
  2. Step 2: Convert to fraction form
    533.14/799.26 = 208.74/x
  3. Step 3: Cross multiply
    533.14x = 799.26 × 208.74
  4. Step 4: Simplify right side
    533.14x = 166,837.53
  5. Step 5: Solve for x
    x = 166,837.53/533.14
  6. Step 6: Final answer
    x = 312.93

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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.