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Finding the Fourth Proportional to 533.20, 800.26 and 208.66

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Solution

The fourth proportional to 533.20, 800.26 and 208.66 is: 313.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.20 : 800.26 = 208.66 : x
  2. Step 2: Convert to fraction form
    533.20/800.26 = 208.66/x
  3. Step 3: Cross multiply
    533.20x = 800.26 × 208.66
  4. Step 4: Simplify right side
    533.20x = 166,982.25
  5. Step 5: Solve for x
    x = 166,982.25/533.20
  6. Step 6: Final answer
    x = 313.17

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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.