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Finding the Fourth Proportional to 326.68, 450.58 and 208.54

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Solution

The fourth proportional to 326.68, 450.58 and 208.54 is: 287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.68 : 450.58 = 208.54 : x
  2. Step 2: Convert to fraction form
    326.68/450.58 = 208.54/x
  3. Step 3: Cross multiply
    326.68x = 450.58 × 208.54
  4. Step 4: Simplify right side
    326.68x = 93,963.95
  5. Step 5: Solve for x
    x = 93,963.95/326.68
  6. Step 6: Final answer
    x = 287.63

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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.