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Finding the Fourth Proportional to 327.88, 452.62 and 233.41

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Solution

The fourth proportional to 327.88, 452.62 and 233.41 is: 322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.88 : 452.62 = 233.41 : x
  2. Step 2: Convert to fraction form
    327.88/452.62 = 233.41/x
  3. Step 3: Cross multiply
    327.88x = 452.62 × 233.41
  4. Step 4: Simplify right side
    327.88x = 105,646.25
  5. Step 5: Solve for x
    x = 105,646.25/327.88
  6. Step 6: Final answer
    x = 322.21

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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.