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Finding the Fourth Proportional to 329.47, 493.22 and 213.58

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Solution

The fourth proportional to 329.47, 493.22 and 213.58 is: 319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.47 : 493.22 = 213.58 : x
  2. Step 2: Convert to fraction form
    329.47/493.22 = 213.58/x
  3. Step 3: Cross multiply
    329.47x = 493.22 × 213.58
  4. Step 4: Simplify right side
    329.47x = 105,339.63
  5. Step 5: Solve for x
    x = 105,339.63/329.47
  6. Step 6: Final answer
    x = 319.73

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