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Finding the Fourth Proportional to 550.84, 824.94 and 388.60

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Solution

The fourth proportional to 550.84, 824.94 and 388.60 is: 581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.84 : 824.94 = 388.60 : x
  2. Step 2: Convert to fraction form
    550.84/824.94 = 388.60/x
  3. Step 3: Cross multiply
    550.84x = 824.94 × 388.60
  4. Step 4: Simplify right side
    550.84x = 320,571.68
  5. Step 5: Solve for x
    x = 320,571.68/550.84
  6. Step 6: Final answer
    x = 581.97

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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.