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Finding the Fourth Proportional to 533.43, 736.12 and 297.37

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Solution

The fourth proportional to 533.43, 736.12 and 297.37 is: 410.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.43 : 736.12 = 297.37 : x
  2. Step 2: Convert to fraction form
    533.43/736.12 = 297.37/x
  3. Step 3: Cross multiply
    533.43x = 736.12 × 297.37
  4. Step 4: Simplify right side
    533.43x = 218,900.00
  5. Step 5: Solve for x
    x = 218,900.00/533.43
  6. Step 6: Final answer
    x = 410.36

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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.