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Finding the Fourth Proportional to 329.75, 494.57 and 214.12

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Solution

The fourth proportional to 329.75, 494.57 and 214.12 is: 321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.75 : 494.57 = 214.12 : x
  2. Step 2: Convert to fraction form
    329.75/494.57 = 214.12/x
  3. Step 3: Cross multiply
    329.75x = 494.57 × 214.12
  4. Step 4: Simplify right side
    329.75x = 105,893.78
  5. Step 5: Solve for x
    x = 105,893.78/329.75
  6. Step 6: Final answer
    x = 321.13

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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.