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Finding the Fourth Proportional to 550.71, 824.79 and 306.69

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Solution

The fourth proportional to 550.71, 824.79 and 306.69 is: 459.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.71 : 824.79 = 306.69 : x
  2. Step 2: Convert to fraction form
    550.71/824.79 = 306.69/x
  3. Step 3: Cross multiply
    550.71x = 824.79 × 306.69
  4. Step 4: Simplify right side
    550.71x = 252,954.85
  5. Step 5: Solve for x
    x = 252,954.85/550.71
  6. Step 6: Final answer
    x = 459.33

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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.