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Finding the Fourth Proportional to 550.94, 825.46 and 388.28

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Solution

The fourth proportional to 550.94, 825.46 and 388.28 is: 581.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.94 : 825.46 = 388.28 : x
  2. Step 2: Convert to fraction form
    550.94/825.46 = 388.28/x
  3. Step 3: Cross multiply
    550.94x = 825.46 × 388.28
  4. Step 4: Simplify right side
    550.94x = 320,509.61
  5. Step 5: Solve for x
    x = 320,509.61/550.94
  6. Step 6: Final answer
    x = 581.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.