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Finding the Fourth Proportional to 327.04, 450.96 and 277.84

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Solution

The fourth proportional to 327.04, 450.96 and 277.84 is: 383.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.04 : 450.96 = 277.84 : x
  2. Step 2: Convert to fraction form
    327.04/450.96 = 277.84/x
  3. Step 3: Cross multiply
    327.04x = 450.96 × 277.84
  4. Step 4: Simplify right side
    327.04x = 125,294.73
  5. Step 5: Solve for x
    x = 125,294.73/327.04
  6. Step 6: Final answer
    x = 383.12

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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.