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Finding the Fourth Proportional to 326.40, 449.40 and 277.20

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Solution

The fourth proportional to 326.40, 449.40 and 277.20 is: 381.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.40 : 449.40 = 277.20 : x
  2. Step 2: Convert to fraction form
    326.40/449.40 = 277.20/x
  3. Step 3: Cross multiply
    326.40x = 449.40 × 277.20
  4. Step 4: Simplify right side
    326.40x = 124,573.68
  5. Step 5: Solve for x
    x = 124,573.68/326.40
  6. Step 6: Final answer
    x = 381.66

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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.