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Finding the Fourth Proportional to 533.59, 800.48 and 273.78

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Solution

The fourth proportional to 533.59, 800.48 and 273.78 is: 410.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.59 : 800.48 = 273.78 : x
  2. Step 2: Convert to fraction form
    533.59/800.48 = 273.78/x
  3. Step 3: Cross multiply
    533.59x = 800.48 × 273.78
  4. Step 4: Simplify right side
    533.59x = 219,156.10
  5. Step 5: Solve for x
    x = 219,156.10/533.59
  6. Step 6: Final answer
    x = 410.72

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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.