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Finding the Fourth Proportional to 550.39, 824.67 and 387.74

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Solution

The fourth proportional to 550.39, 824.67 and 387.74 is: 580.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.39 : 824.67 = 387.74 : x
  2. Step 2: Convert to fraction form
    550.39/824.67 = 387.74/x
  3. Step 3: Cross multiply
    550.39x = 824.67 × 387.74
  4. Step 4: Simplify right side
    550.39x = 319,757.55
  5. Step 5: Solve for x
    x = 319,757.55/550.39
  6. Step 6: Final answer
    x = 580.97

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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.