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Finding the Fourth Proportional to 534.26, 799.63 and 327.86

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Solution

The fourth proportional to 534.26, 799.63 and 327.86 is: 490.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.26 : 799.63 = 327.86 : x
  2. Step 2: Convert to fraction form
    534.26/799.63 = 327.86/x
  3. Step 3: Cross multiply
    534.26x = 799.63 × 327.86
  4. Step 4: Simplify right side
    534.26x = 262,166.69
  5. Step 5: Solve for x
    x = 262,166.69/534.26
  6. Step 6: Final answer
    x = 490.71

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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.