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Finding the Fourth Proportional to 322.88, 481.68 and 294.96

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Solution

The fourth proportional to 322.88, 481.68 and 294.96 is: 440.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.88 : 481.68 = 294.96 : x
  2. Step 2: Convert to fraction form
    322.88/481.68 = 294.96/x
  3. Step 3: Cross multiply
    322.88x = 481.68 × 294.96
  4. Step 4: Simplify right side
    322.88x = 142,076.33
  5. Step 5: Solve for x
    x = 142,076.33/322.88
  6. Step 6: Final answer
    x = 440.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.