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Finding the Fourth Proportional to 329.62, 493.77 and 199.64

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Solution

The fourth proportional to 329.62, 493.77 and 199.64 is: 299.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.62 : 493.77 = 199.64 : x
  2. Step 2: Convert to fraction form
    329.62/493.77 = 199.64/x
  3. Step 3: Cross multiply
    329.62x = 493.77 × 199.64
  4. Step 4: Simplify right side
    329.62x = 98,576.24
  5. Step 5: Solve for x
    x = 98,576.24/329.62
  6. Step 6: Final answer
    x = 299.06

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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.