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Finding the Fourth Proportional to 364.32, 500.64 and 325.44

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Solution

The fourth proportional to 364.32, 500.64 and 325.44 is: 447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.32 : 500.64 = 325.44 : x
  2. Step 2: Convert to fraction form
    364.32/500.64 = 325.44/x
  3. Step 3: Cross multiply
    364.32x = 500.64 × 325.44
  4. Step 4: Simplify right side
    364.32x = 162,928.28
  5. Step 5: Solve for x
    x = 162,928.28/364.32
  6. Step 6: Final answer
    x = 447.21

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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.