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Finding the Fourth Proportional to 329.84, 494.55 and 214.14

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Solution

The fourth proportional to 329.84, 494.55 and 214.14 is: 321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.84 : 494.55 = 214.14 : x
  2. Step 2: Convert to fraction form
    329.84/494.55 = 214.14/x
  3. Step 3: Cross multiply
    329.84x = 494.55 × 214.14
  4. Step 4: Simplify right side
    329.84x = 105,902.94
  5. Step 5: Solve for x
    x = 105,902.94/329.84
  6. Step 6: Final answer
    x = 321.07

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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.