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Finding the Fourth Proportional to 533.40, 799.78 and 208.38

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Solution

The fourth proportional to 533.40, 799.78 and 208.38 is: 312.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.40 : 799.78 = 208.38 : x
  2. Step 2: Convert to fraction form
    533.40/799.78 = 208.38/x
  3. Step 3: Cross multiply
    533.40x = 799.78 × 208.38
  4. Step 4: Simplify right side
    533.40x = 166,658.16
  5. Step 5: Solve for x
    x = 166,658.16/533.40
  6. Step 6: Final answer
    x = 312.44

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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.