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Finding the Fourth Proportional to 299.10, 447.96 and 259.56

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Solution

The fourth proportional to 299.10, 447.96 and 259.56 is: 388.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.10 : 447.96 = 259.56 : x
  2. Step 2: Convert to fraction form
    299.10/447.96 = 259.56/x
  3. Step 3: Cross multiply
    299.10x = 447.96 × 259.56
  4. Step 4: Simplify right side
    299.10x = 116,272.50
  5. Step 5: Solve for x
    x = 116,272.50/299.10
  6. Step 6: Final answer
    x = 388.74

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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.