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Finding the Fourth Proportional to 326.53, 450.88 and 238.51

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Solution

The fourth proportional to 326.53, 450.88 and 238.51 is: 329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.53 : 450.88 = 238.51 : x
  2. Step 2: Convert to fraction form
    326.53/450.88 = 238.51/x
  3. Step 3: Cross multiply
    326.53x = 450.88 × 238.51
  4. Step 4: Simplify right side
    326.53x = 107,537.13
  5. Step 5: Solve for x
    x = 107,537.13/326.53
  6. Step 6: Final answer
    x = 329.34

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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.