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Finding the Fourth Proportional to 367.57, 507.42 and 236.80

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Solution

The fourth proportional to 367.57, 507.42 and 236.80 is: 326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.57 : 507.42 = 236.80 : x
  2. Step 2: Convert to fraction form
    367.57/507.42 = 236.80/x
  3. Step 3: Cross multiply
    367.57x = 507.42 × 236.80
  4. Step 4: Simplify right side
    367.57x = 120,157.06
  5. Step 5: Solve for x
    x = 120,157.06/367.57
  6. Step 6: Final answer
    x = 326.90

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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.