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Finding the Fourth Proportional to 329.67, 493.37 and 300.14

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Solution

The fourth proportional to 329.67, 493.37 and 300.14 is: 449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.67 : 493.37 = 300.14 : x
  2. Step 2: Convert to fraction form
    329.67/493.37 = 300.14/x
  3. Step 3: Cross multiply
    329.67x = 493.37 × 300.14
  4. Step 4: Simplify right side
    329.67x = 148,080.07
  5. Step 5: Solve for x
    x = 148,080.07/329.67
  6. Step 6: Final answer
    x = 449.18

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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.