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Finding the Fourth Proportional to 399.35, 550.73 and 333

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Solution

The fourth proportional to 399.35, 550.73 and 333 is: 459.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.35 : 550.73 = 333 : x
  2. Step 2: Convert to fraction form
    399.35/550.73 = 333/x
  3. Step 3: Cross multiply
    399.35x = 550.73 × 333
  4. Step 4: Simplify right side
    399.35x = 183,391.43
  5. Step 5: Solve for x
    x = 183,391.43/399.35
  6. Step 6: Final answer
    x = 459.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.