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Finding the Fourth Proportional to 327.29, 452.57 and 322.07

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Solution

The fourth proportional to 327.29, 452.57 and 322.07 is: 445.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.29 : 452.57 = 322.07 : x
  2. Step 2: Convert to fraction form
    327.29/452.57 = 322.07/x
  3. Step 3: Cross multiply
    327.29x = 452.57 × 322.07
  4. Step 4: Simplify right side
    327.29x = 145,755.35
  5. Step 5: Solve for x
    x = 145,755.35/327.29
  6. Step 6: Final answer
    x = 445.35

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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.