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Finding the Fourth Proportional to 533.69, 800.62 and 204.62

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Solution

The fourth proportional to 533.69, 800.62 and 204.62 is: 306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.69 : 800.62 = 204.62 : x
  2. Step 2: Convert to fraction form
    533.69/800.62 = 204.62/x
  3. Step 3: Cross multiply
    533.69x = 800.62 × 204.62
  4. Step 4: Simplify right side
    533.69x = 163,819.12
  5. Step 5: Solve for x
    x = 163,819.12/533.69
  6. Step 6: Final answer
    x = 306.96

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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.