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Finding the Fourth Proportional to 550.90, 825.99 and 493.30

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Solution

The fourth proportional to 550.90, 825.99 and 493.30 is: 739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.90 : 825.99 = 493.30 : x
  2. Step 2: Convert to fraction form
    550.90/825.99 = 493.30/x
  3. Step 3: Cross multiply
    550.90x = 825.99 × 493.30
  4. Step 4: Simplify right side
    550.90x = 407,460.87
  5. Step 5: Solve for x
    x = 407,460.87/550.90
  6. Step 6: Final answer
    x = 739.63

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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.