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Finding the Fourth Proportional to 367.32, 504.75 and 328.44

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Solution

The fourth proportional to 367.32, 504.75 and 328.44 is: 451.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.32 : 504.75 = 328.44 : x
  2. Step 2: Convert to fraction form
    367.32/504.75 = 328.44/x
  3. Step 3: Cross multiply
    367.32x = 504.75 × 328.44
  4. Step 4: Simplify right side
    367.32x = 165,780.09
  5. Step 5: Solve for x
    x = 165,780.09/367.32
  6. Step 6: Final answer
    x = 451.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.