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Finding the Fourth Proportional to 329.37, 493.88 and 213.87

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Solution

The fourth proportional to 329.37, 493.88 and 213.87 is: 320.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.37 : 493.88 = 213.87 : x
  2. Step 2: Convert to fraction form
    329.37/493.88 = 213.87/x
  3. Step 3: Cross multiply
    329.37x = 493.88 × 213.87
  4. Step 4: Simplify right side
    329.37x = 105,626.12
  5. Step 5: Solve for x
    x = 105,626.12/329.37
  6. Step 6: Final answer
    x = 320.69

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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.