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Finding the Fourth Proportional to 326.02, 449.76 and 208.15

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Solution

The fourth proportional to 326.02, 449.76 and 208.15 is: 287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.02 : 449.76 = 208.15 : x
  2. Step 2: Convert to fraction form
    326.02/449.76 = 208.15/x
  3. Step 3: Cross multiply
    326.02x = 449.76 × 208.15
  4. Step 4: Simplify right side
    326.02x = 93,617.54
  5. Step 5: Solve for x
    x = 93,617.54/326.02
  6. Step 6: Final answer
    x = 287.15

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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.