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Finding the Fourth Proportional to 367.54, 506.77 and 320.83

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Solution

The fourth proportional to 367.54, 506.77 and 320.83 is: 442.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.54 : 506.77 = 320.83 : x
  2. Step 2: Convert to fraction form
    367.54/506.77 = 320.83/x
  3. Step 3: Cross multiply
    367.54x = 506.77 × 320.83
  4. Step 4: Simplify right side
    367.54x = 162,586.75
  5. Step 5: Solve for x
    x = 162,586.75/367.54
  6. Step 6: Final answer
    x = 442.37

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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.