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Finding the Fourth Proportional to 533.27, 800.04 and 208.67

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Solution

The fourth proportional to 533.27, 800.04 and 208.67 is: 313.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.27 : 800.04 = 208.67 : x
  2. Step 2: Convert to fraction form
    533.27/800.04 = 208.67/x
  3. Step 3: Cross multiply
    533.27x = 800.04 × 208.67
  4. Step 4: Simplify right side
    533.27x = 166,940.35
  5. Step 5: Solve for x
    x = 166,940.35/533.27
  6. Step 6: Final answer
    x = 313.05

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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.