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Finding the Fourth Proportional to 327.48, 452.02 and 211.02

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Solution

The fourth proportional to 327.48, 452.02 and 211.02 is: 291.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.48 : 452.02 = 211.02 : x
  2. Step 2: Convert to fraction form
    327.48/452.02 = 211.02/x
  3. Step 3: Cross multiply
    327.48x = 452.02 × 211.02
  4. Step 4: Simplify right side
    327.48x = 95,385.26
  5. Step 5: Solve for x
    x = 95,385.26/327.48
  6. Step 6: Final answer
    x = 291.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.