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Finding the Fourth Proportional to 533.71, 736.71 and 323.80

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Solution

The fourth proportional to 533.71, 736.71 and 323.80 is: 446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.71 : 736.71 = 323.80 : x
  2. Step 2: Convert to fraction form
    533.71/736.71 = 323.80/x
  3. Step 3: Cross multiply
    533.71x = 736.71 × 323.80
  4. Step 4: Simplify right side
    533.71x = 238,546.70
  5. Step 5: Solve for x
    x = 238,546.70/533.71
  6. Step 6: Final answer
    x = 446.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.