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Finding the Fourth Proportional to 533.90, 799.48 and 327.85

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Solution

The fourth proportional to 533.90, 799.48 and 327.85 is: 490.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.90 : 799.48 = 327.85 : x
  2. Step 2: Convert to fraction form
    533.90/799.48 = 327.85/x
  3. Step 3: Cross multiply
    533.90x = 799.48 × 327.85
  4. Step 4: Simplify right side
    533.90x = 262,109.52
  5. Step 5: Solve for x
    x = 262,109.52/533.90
  6. Step 6: Final answer
    x = 490.93

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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.