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Finding the Fourth Proportional to 533.43, 800.28 and 208.89

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Solution

The fourth proportional to 533.43, 800.28 and 208.89 is: 313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.43 : 800.28 = 208.89 : x
  2. Step 2: Convert to fraction form
    533.43/800.28 = 208.89/x
  3. Step 3: Cross multiply
    533.43x = 800.28 × 208.89
  4. Step 4: Simplify right side
    533.43x = 167,170.49
  5. Step 5: Solve for x
    x = 167,170.49/533.43
  6. Step 6: Final answer
    x = 313.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.