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Finding the Fourth Proportional to 533.53, 736.21 and 297.44

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Solution

The fourth proportional to 533.53, 736.21 and 297.44 is: 410.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.53 : 736.21 = 297.44 : x
  2. Step 2: Convert to fraction form
    533.53/736.21 = 297.44/x
  3. Step 3: Cross multiply
    533.53x = 736.21 × 297.44
  4. Step 4: Simplify right side
    533.53x = 218,978.30
  5. Step 5: Solve for x
    x = 218,978.30/533.53
  6. Step 6: Final answer
    x = 410.43

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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.