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Finding the Fourth Proportional to 327.60, 452.04 and 216.88

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Solution

The fourth proportional to 327.60, 452.04 and 216.88 is: 299.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.60 : 452.04 = 216.88 : x
  2. Step 2: Convert to fraction form
    327.60/452.04 = 216.88/x
  3. Step 3: Cross multiply
    327.60x = 452.04 × 216.88
  4. Step 4: Simplify right side
    327.60x = 98,038.44
  5. Step 5: Solve for x
    x = 98,038.44/327.60
  6. Step 6: Final answer
    x = 299.26

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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.