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Finding the Fourth Proportional to 367.90, 507.44 and 236.78

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Solution

The fourth proportional to 367.90, 507.44 and 236.78 is: 326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.90 : 507.44 = 236.78 : x
  2. Step 2: Convert to fraction form
    367.90/507.44 = 236.78/x
  3. Step 3: Cross multiply
    367.90x = 507.44 × 236.78
  4. Step 4: Simplify right side
    367.90x = 120,151.64
  5. Step 5: Solve for x
    x = 120,151.64/367.90
  6. Step 6: Final answer
    x = 326.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.