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Finding the Fourth Proportional to 329.96, 494.94 and 214.50

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Solution

The fourth proportional to 329.96, 494.94 and 214.50 is: 321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.96 : 494.94 = 214.50 : x
  2. Step 2: Convert to fraction form
    329.96/494.94 = 214.50/x
  3. Step 3: Cross multiply
    329.96x = 494.94 × 214.50
  4. Step 4: Simplify right side
    329.96x = 106,164.63
  5. Step 5: Solve for x
    x = 106,164.63/329.96
  6. Step 6: Final answer
    x = 321.75

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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.