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Finding the Fourth Proportional to 326.72, 454.04 and 322.64

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Solution

The fourth proportional to 326.72, 454.04 and 322.64 is: 448.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.72 : 454.04 = 322.64 : x
  2. Step 2: Convert to fraction form
    326.72/454.04 = 322.64/x
  3. Step 3: Cross multiply
    326.72x = 454.04 × 322.64
  4. Step 4: Simplify right side
    326.72x = 146,491.47
  5. Step 5: Solve for x
    x = 146,491.47/326.72
  6. Step 6: Final answer
    x = 448.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.