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Finding the Fourth Proportional to 490.46, 735.21 and 202.06

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Solution

The fourth proportional to 490.46, 735.21 and 202.06 is: 302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.46 : 735.21 = 202.06 : x
  2. Step 2: Convert to fraction form
    490.46/735.21 = 202.06/x
  3. Step 3: Cross multiply
    490.46x = 735.21 × 202.06
  4. Step 4: Simplify right side
    490.46x = 148,556.53
  5. Step 5: Solve for x
    x = 148,556.53/490.46
  6. Step 6: Final answer
    x = 302.89

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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.