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Finding the Fourth Proportional to 329.46, 494.30 and 214.14

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Solution

The fourth proportional to 329.46, 494.30 and 214.14 is: 321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.46 : 494.30 = 214.14 : x
  2. Step 2: Convert to fraction form
    329.46/494.30 = 214.14/x
  3. Step 3: Cross multiply
    329.46x = 494.30 × 214.14
  4. Step 4: Simplify right side
    329.46x = 105,849.40
  5. Step 5: Solve for x
    x = 105,849.40/329.46
  6. Step 6: Final answer
    x = 321.28

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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.