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Finding the Fourth Proportional to 329.22, 493.38 and 213.48

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Solution

The fourth proportional to 329.22, 493.38 and 213.48 is: 319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.22 : 493.38 = 213.48 : x
  2. Step 2: Convert to fraction form
    329.22/493.38 = 213.48/x
  3. Step 3: Cross multiply
    329.22x = 493.38 × 213.48
  4. Step 4: Simplify right side
    329.22x = 105,326.76
  5. Step 5: Solve for x
    x = 105,326.76/329.22
  6. Step 6: Final answer
    x = 319.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.