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Finding the Fourth Proportional to 533.46, 800.12 and 328.38

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Solution

The fourth proportional to 533.46, 800.12 and 328.38 is: 492.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.46 : 800.12 = 328.38 : x
  2. Step 2: Convert to fraction form
    533.46/800.12 = 328.38/x
  3. Step 3: Cross multiply
    533.46x = 800.12 × 328.38
  4. Step 4: Simplify right side
    533.46x = 262,743.41
  5. Step 5: Solve for x
    x = 262,743.41/533.46
  6. Step 6: Final answer
    x = 492.53

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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.