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Finding the Fourth Proportional to 329.88, 493.74 and 201

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Solution

The fourth proportional to 329.88, 493.74 and 201 is: 300.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.88 : 493.74 = 201 : x
  2. Step 2: Convert to fraction form
    329.88/493.74 = 201/x
  3. Step 3: Cross multiply
    329.88x = 493.74 × 201
  4. Step 4: Simplify right side
    329.88x = 99,241.74
  5. Step 5: Solve for x
    x = 99,241.74/329.88
  6. Step 6: Final answer
    x = 300.84

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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.