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Finding the Fourth Proportional to 367.41, 507.06 and 236.46

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Solution

The fourth proportional to 367.41, 507.06 and 236.46 is: 326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.41 : 507.06 = 236.46 : x
  2. Step 2: Convert to fraction form
    367.41/507.06 = 236.46/x
  3. Step 3: Cross multiply
    367.41x = 507.06 × 236.46
  4. Step 4: Simplify right side
    367.41x = 119,899.41
  5. Step 5: Solve for x
    x = 119,899.41/367.41
  6. Step 6: Final answer
    x = 326.34

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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.