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Finding the Fourth Proportional to 533.37, 799.75 and 208.56

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Solution

The fourth proportional to 533.37, 799.75 and 208.56 is: 312.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.37 : 799.75 = 208.56 : x
  2. Step 2: Convert to fraction form
    533.37/799.75 = 208.56/x
  3. Step 3: Cross multiply
    533.37x = 799.75 × 208.56
  4. Step 4: Simplify right side
    533.37x = 166,795.86
  5. Step 5: Solve for x
    x = 166,795.86/533.37
  6. Step 6: Final answer
    x = 312.72

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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.