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Finding the Fourth Proportional to 533.52, 800.01 and 273.48

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Solution

The fourth proportional to 533.52, 800.01 and 273.48 is: 410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.52 : 800.01 = 273.48 : x
  2. Step 2: Convert to fraction form
    533.52/800.01 = 273.48/x
  3. Step 3: Cross multiply
    533.52x = 800.01 × 273.48
  4. Step 4: Simplify right side
    533.52x = 218,786.73
  5. Step 5: Solve for x
    x = 218,786.73/533.52
  6. Step 6: Final answer
    x = 410.08

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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.