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Finding the Fourth Proportional to 329.86, 494.62 and 214.36

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Solution

The fourth proportional to 329.86, 494.62 and 214.36 is: 321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.86 : 494.62 = 214.36 : x
  2. Step 2: Convert to fraction form
    329.86/494.62 = 214.36/x
  3. Step 3: Cross multiply
    329.86x = 494.62 × 214.36
  4. Step 4: Simplify right side
    329.86x = 106,026.74
  5. Step 5: Solve for x
    x = 106,026.74/329.86
  6. Step 6: Final answer
    x = 321.43

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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.