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Finding the Fourth Proportional to 550.48, 825.73 and 464.37

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Solution

The fourth proportional to 550.48, 825.73 and 464.37 is: 696.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.48 : 825.73 = 464.37 : x
  2. Step 2: Convert to fraction form
    550.48/825.73 = 464.37/x
  3. Step 3: Cross multiply
    550.48x = 825.73 × 464.37
  4. Step 4: Simplify right side
    550.48x = 383,444.24
  5. Step 5: Solve for x
    x = 383,444.24/550.48
  6. Step 6: Final answer
    x = 696.56

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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.