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Finding the Fourth Proportional to 322.88, 443.63 and 257.27

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Solution

The fourth proportional to 322.88, 443.63 and 257.27 is: 353.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.88 : 443.63 = 257.27 : x
  2. Step 2: Convert to fraction form
    322.88/443.63 = 257.27/x
  3. Step 3: Cross multiply
    322.88x = 443.63 × 257.27
  4. Step 4: Simplify right side
    322.88x = 114,132.69
  5. Step 5: Solve for x
    x = 114,132.69/322.88
  6. Step 6: Final answer
    x = 353.48

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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.