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Finding the Fourth Proportional to 329.53, 493.92 and 214.18

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Solution

The fourth proportional to 329.53, 493.92 and 214.18 is: 321.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.53 : 493.92 = 214.18 : x
  2. Step 2: Convert to fraction form
    329.53/493.92 = 214.18/x
  3. Step 3: Cross multiply
    329.53x = 493.92 × 214.18
  4. Step 4: Simplify right side
    329.53x = 105,787.79
  5. Step 5: Solve for x
    x = 105,787.79/329.53
  6. Step 6: Final answer
    x = 321.03

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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.