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Finding the Fourth Proportional to 326.82, 450.96 and 253.02

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Solution

The fourth proportional to 326.82, 450.96 and 253.02 is: 349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.82 : 450.96 = 253.02 : x
  2. Step 2: Convert to fraction form
    326.82/450.96 = 253.02/x
  3. Step 3: Cross multiply
    326.82x = 450.96 × 253.02
  4. Step 4: Simplify right side
    326.82x = 114,101.90
  5. Step 5: Solve for x
    x = 114,101.90/326.82
  6. Step 6: Final answer
    x = 349.13

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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.