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Finding the Fourth Proportional to 326.87, 450.06 and 277.64

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Solution

The fourth proportional to 326.87, 450.06 and 277.64 is: 382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.87 : 450.06 = 277.64 : x
  2. Step 2: Convert to fraction form
    326.87/450.06 = 277.64/x
  3. Step 3: Cross multiply
    326.87x = 450.06 × 277.64
  4. Step 4: Simplify right side
    326.87x = 124,954.66
  5. Step 5: Solve for x
    x = 124,954.66/326.87
  6. Step 6: Final answer
    x = 382.28

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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.