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Finding the Fourth Proportional to 533.38, 799.46 and 208.66

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Solution

The fourth proportional to 533.38, 799.46 and 208.66 is: 312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.38 : 799.46 = 208.66 : x
  2. Step 2: Convert to fraction form
    533.38/799.46 = 208.66/x
  3. Step 3: Cross multiply
    533.38x = 799.46 × 208.66
  4. Step 4: Simplify right side
    533.38x = 166,815.32
  5. Step 5: Solve for x
    x = 166,815.32/533.38
  6. Step 6: Final answer
    x = 312.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.