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Finding the Fourth Proportional to 550.64, 760.09 and 329.67

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Solution

The fourth proportional to 550.64, 760.09 and 329.67 is: 455.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.64 : 760.09 = 329.67 : x
  2. Step 2: Convert to fraction form
    550.64/760.09 = 329.67/x
  3. Step 3: Cross multiply
    550.64x = 760.09 × 329.67
  4. Step 4: Simplify right side
    550.64x = 250,578.87
  5. Step 5: Solve for x
    x = 250,578.87/550.64
  6. Step 6: Final answer
    x = 455.07

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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.