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Finding the Fourth Proportional to 550.51, 824.14 and 333.43

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Solution

The fourth proportional to 550.51, 824.14 and 333.43 is: 499.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.51 : 824.14 = 333.43 : x
  2. Step 2: Convert to fraction form
    550.51/824.14 = 333.43/x
  3. Step 3: Cross multiply
    550.51x = 824.14 × 333.43
  4. Step 4: Simplify right side
    550.51x = 274,791.36
  5. Step 5: Solve for x
    x = 274,791.36/550.51
  6. Step 6: Final answer
    x = 499.16

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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.