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Finding the Fourth Proportional to 550.07, 825.24 and 388.07

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Solution

The fourth proportional to 550.07, 825.24 and 388.07 is: 582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.07 : 825.24 = 388.07 : x
  2. Step 2: Convert to fraction form
    550.07/825.24 = 388.07/x
  3. Step 3: Cross multiply
    550.07x = 825.24 × 388.07
  4. Step 4: Simplify right side
    550.07x = 320,251.31
  5. Step 5: Solve for x
    x = 320,251.31/550.07
  6. Step 6: Final answer
    x = 582.20

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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.