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Finding the Fourth Proportional to 490, 735.34 and 201.44

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Solution

The fourth proportional to 490, 735.34 and 201.44 is: 302.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    490 : 735.34 = 201.44 : x
  2. Step 2: Convert to fraction form
    490/735.34 = 201.44/x
  3. Step 3: Cross multiply
    490x = 735.34 × 201.44
  4. Step 4: Simplify right side
    490x = 148,126.89
  5. Step 5: Solve for x
    x = 148,126.89/490
  6. Step 6: Final answer
    x = 302.30

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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.