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Finding the Fourth Proportional to 533.37, 735.99 and 297.27

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Solution

The fourth proportional to 533.37, 735.99 and 297.27 is: 410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.37 : 735.99 = 297.27 : x
  2. Step 2: Convert to fraction form
    533.37/735.99 = 297.27/x
  3. Step 3: Cross multiply
    533.37x = 735.99 × 297.27
  4. Step 4: Simplify right side
    533.37x = 218,787.75
  5. Step 5: Solve for x
    x = 218,787.75/533.37
  6. Step 6: Final answer
    x = 410.20

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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.