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Finding the Fourth Proportional to 533.53, 800.41 and 204.47

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Solution

The fourth proportional to 533.53, 800.41 and 204.47 is: 306.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.53 : 800.41 = 204.47 : x
  2. Step 2: Convert to fraction form
    533.53/800.41 = 204.47/x
  3. Step 3: Cross multiply
    533.53x = 800.41 × 204.47
  4. Step 4: Simplify right side
    533.53x = 163,660.41
  5. Step 5: Solve for x
    x = 163,660.41/533.53
  6. Step 6: Final answer
    x = 306.75

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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.