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Finding the Fourth Proportional to 550.27, 759.39 and 314.25

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Solution

The fourth proportional to 550.27, 759.39 and 314.25 is: 433.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.27 : 759.39 = 314.25 : x
  2. Step 2: Convert to fraction form
    550.27/759.39 = 314.25/x
  3. Step 3: Cross multiply
    550.27x = 759.39 × 314.25
  4. Step 4: Simplify right side
    550.27x = 238,632.94
  5. Step 5: Solve for x
    x = 238,632.94/550.27
  6. Step 6: Final answer
    x = 433.67

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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.