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Finding the Fourth Proportional to 326.83, 449.92 and 253.12

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Solution

The fourth proportional to 326.83, 449.92 and 253.12 is: 348.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.83 : 449.92 = 253.12 : x
  2. Step 2: Convert to fraction form
    326.83/449.92 = 253.12/x
  3. Step 3: Cross multiply
    326.83x = 449.92 × 253.12
  4. Step 4: Simplify right side
    326.83x = 113,880.24
  5. Step 5: Solve for x
    x = 113,880.24/326.83
  6. Step 6: Final answer
    x = 348.44

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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.