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Finding the Fourth Proportional to 533.35, 799.89 and 208.54

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Solution

The fourth proportional to 533.35, 799.89 and 208.54 is: 312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.35 : 799.89 = 208.54 : x
  2. Step 2: Convert to fraction form
    533.35/799.89 = 208.54/x
  3. Step 3: Cross multiply
    533.35x = 799.89 × 208.54
  4. Step 4: Simplify right side
    533.35x = 166,809.06
  5. Step 5: Solve for x
    x = 166,809.06/533.35
  6. Step 6: Final answer
    x = 312.76

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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.