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Finding the Fourth Proportional to 326.44, 448.01 and 295.30

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Solution

The fourth proportional to 326.44, 448.01 and 295.30 is: 405.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.44 : 448.01 = 295.30 : x
  2. Step 2: Convert to fraction form
    326.44/448.01 = 295.30/x
  3. Step 3: Cross multiply
    326.44x = 448.01 × 295.30
  4. Step 4: Simplify right side
    326.44x = 132,297.35
  5. Step 5: Solve for x
    x = 132,297.35/326.44
  6. Step 6: Final answer
    x = 405.27

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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.