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Finding the Fourth Proportional to 326.34, 450.31 and 282.15

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Solution

The fourth proportional to 326.34, 450.31 and 282.15 is: 389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.34 : 450.31 = 282.15 : x
  2. Step 2: Convert to fraction form
    326.34/450.31 = 282.15/x
  3. Step 3: Cross multiply
    326.34x = 450.31 × 282.15
  4. Step 4: Simplify right side
    326.34x = 127,054.97
  5. Step 5: Solve for x
    x = 127,054.97/326.34
  6. Step 6: Final answer
    x = 389.33

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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.