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Finding the Fourth Proportional to 533.45, 800.09 and 204.30

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Solution

The fourth proportional to 533.45, 800.09 and 204.30 is: 306.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.45 : 800.09 = 204.30 : x
  2. Step 2: Convert to fraction form
    533.45/800.09 = 204.30/x
  3. Step 3: Cross multiply
    533.45x = 800.09 × 204.30
  4. Step 4: Simplify right side
    533.45x = 163,458.13
  5. Step 5: Solve for x
    x = 163,458.13/533.45
  6. Step 6: Final answer
    x = 306.42

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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.