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Finding the Fourth Proportional to 539.21, 807.84 and 333.68

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Solution

The fourth proportional to 539.21, 807.84 and 333.68 is: 499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.21 : 807.84 = 333.68 : x
  2. Step 2: Convert to fraction form
    539.21/807.84 = 333.68/x
  3. Step 3: Cross multiply
    539.21x = 807.84 × 333.68
  4. Step 4: Simplify right side
    539.21x = 269,556.01
  5. Step 5: Solve for x
    x = 269,556.01/539.21
  6. Step 6: Final answer
    x = 499.91

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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.