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Finding the Fourth Proportional to 533.36, 799.96 and 208.68

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Solution

The fourth proportional to 533.36, 799.96 and 208.68 is: 312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.36 : 799.96 = 208.68 : x
  2. Step 2: Convert to fraction form
    533.36/799.96 = 208.68/x
  3. Step 3: Cross multiply
    533.36x = 799.96 × 208.68
  4. Step 4: Simplify right side
    533.36x = 166,935.65
  5. Step 5: Solve for x
    x = 166,935.65/533.36
  6. Step 6: Final answer
    x = 312.99

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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.