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Finding the Fourth Proportional to 329.96, 495.74 and 214.44

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Solution

The fourth proportional to 329.96, 495.74 and 214.44 is: 322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.96 : 495.74 = 214.44 : x
  2. Step 2: Convert to fraction form
    329.96/495.74 = 214.44/x
  3. Step 3: Cross multiply
    329.96x = 495.74 × 214.44
  4. Step 4: Simplify right side
    329.96x = 106,306.49
  5. Step 5: Solve for x
    x = 106,306.49/329.96
  6. Step 6: Final answer
    x = 322.18

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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.