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Finding the Fourth Proportional to 367.69, 550.23 and 316.93

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Solution

The fourth proportional to 367.69, 550.23 and 316.93 is: 474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.69 : 550.23 = 316.93 : x
  2. Step 2: Convert to fraction form
    367.69/550.23 = 316.93/x
  3. Step 3: Cross multiply
    367.69x = 550.23 × 316.93
  4. Step 4: Simplify right side
    367.69x = 174,384.39
  5. Step 5: Solve for x
    x = 174,384.39/367.69
  6. Step 6: Final answer
    x = 474.27

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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.