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Finding the Fourth Proportional to 323.79, 444.66 and 277.16

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Solution

The fourth proportional to 323.79, 444.66 and 277.16 is: 380.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.79 : 444.66 = 277.16 : x
  2. Step 2: Convert to fraction form
    323.79/444.66 = 277.16/x
  3. Step 3: Cross multiply
    323.79x = 444.66 × 277.16
  4. Step 4: Simplify right side
    323.79x = 123,243.08
  5. Step 5: Solve for x
    x = 123,243.08/323.79
  6. Step 6: Final answer
    x = 380.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.