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Finding the Fourth Proportional to 533.43, 800.43 and 208.80

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Solution

The fourth proportional to 533.43, 800.43 and 208.80 is: 313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.43 : 800.43 = 208.80 : x
  2. Step 2: Convert to fraction form
    533.43/800.43 = 208.80/x
  3. Step 3: Cross multiply
    533.43x = 800.43 × 208.80
  4. Step 4: Simplify right side
    533.43x = 167,129.78
  5. Step 5: Solve for x
    x = 167,129.78/533.43
  6. Step 6: Final answer
    x = 313.31

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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.