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Finding the Fourth Proportional to 490.26, 735.58 and 259.14

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Solution

The fourth proportional to 490.26, 735.58 and 259.14 is: 388.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.26 : 735.58 = 259.14 : x
  2. Step 2: Convert to fraction form
    490.26/735.58 = 259.14/x
  3. Step 3: Cross multiply
    490.26x = 735.58 × 259.14
  4. Step 4: Simplify right side
    490.26x = 190,618.20
  5. Step 5: Solve for x
    x = 190,618.20/490.26
  6. Step 6: Final answer
    x = 388.81

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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.