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Finding the Fourth Proportional to 326.50, 450.51 and 208.26

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Solution

The fourth proportional to 326.50, 450.51 and 208.26 is: 287.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.50 : 450.51 = 208.26 : x
  2. Step 2: Convert to fraction form
    326.50/450.51 = 208.26/x
  3. Step 3: Cross multiply
    326.50x = 450.51 × 208.26
  4. Step 4: Simplify right side
    326.50x = 93,823.21
  5. Step 5: Solve for x
    x = 93,823.21/326.50
  6. Step 6: Final answer
    x = 287.36

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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.