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Finding the Fourth Proportional to 367.52, 507.08 and 236.32

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Solution

The fourth proportional to 367.52, 507.08 and 236.32 is: 326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.52 : 507.08 = 236.32 : x
  2. Step 2: Convert to fraction form
    367.52/507.08 = 236.32/x
  3. Step 3: Cross multiply
    367.52x = 507.08 × 236.32
  4. Step 4: Simplify right side
    367.52x = 119,833.15
  5. Step 5: Solve for x
    x = 119,833.15/367.52
  6. Step 6: Final answer
    x = 326.06

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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.