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Finding the Fourth Proportional to 298, 445.99 and 259.60

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Solution

The fourth proportional to 298, 445.99 and 259.60 is: 388.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298 : 445.99 = 259.60 : x
  2. Step 2: Convert to fraction form
    298/445.99 = 259.60/x
  3. Step 3: Cross multiply
    298x = 445.99 × 259.60
  4. Step 4: Simplify right side
    298x = 115,775.48
  5. Step 5: Solve for x
    x = 115,775.48/298
  6. Step 6: Final answer
    x = 388.51

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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.