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Finding the Fourth Proportional to 326.20, 449.66 and 256.10

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Solution

The fourth proportional to 326.20, 449.66 and 256.10 is: 353.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.20 : 449.66 = 256.10 : x
  2. Step 2: Convert to fraction form
    326.20/449.66 = 256.10/x
  3. Step 3: Cross multiply
    326.20x = 449.66 × 256.10
  4. Step 4: Simplify right side
    326.20x = 115,157.93
  5. Step 5: Solve for x
    x = 115,157.93/326.20
  6. Step 6: Final answer
    x = 353.03

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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.