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Finding the Fourth Proportional to 550.93, 760.27 and 329.80

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Solution

The fourth proportional to 550.93, 760.27 and 329.80 is: 455.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.93 : 760.27 = 329.80 : x
  2. Step 2: Convert to fraction form
    550.93/760.27 = 329.80/x
  3. Step 3: Cross multiply
    550.93x = 760.27 × 329.80
  4. Step 4: Simplify right side
    550.93x = 250,737.05
  5. Step 5: Solve for x
    x = 250,737.05/550.93
  6. Step 6: Final answer
    x = 455.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.