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Finding the Fourth Proportional to 533.72, 800.39 and 204.69

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Solution

The fourth proportional to 533.72, 800.39 and 204.69 is: 306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.72 : 800.39 = 204.69 : x
  2. Step 2: Convert to fraction form
    533.72/800.39 = 204.69/x
  3. Step 3: Cross multiply
    533.72x = 800.39 × 204.69
  4. Step 4: Simplify right side
    533.72x = 163,830.81
  5. Step 5: Solve for x
    x = 163,830.81/533.72
  6. Step 6: Final answer
    x = 306.96

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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.