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Finding the Fourth Proportional to 350.20, 524.26 and 259.30

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Solution

The fourth proportional to 350.20, 524.26 and 259.30 is: 388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.20 : 524.26 = 259.30 : x
  2. Step 2: Convert to fraction form
    350.20/524.26 = 259.30/x
  3. Step 3: Cross multiply
    350.20x = 524.26 × 259.30
  4. Step 4: Simplify right side
    350.20x = 135,940.62
  5. Step 5: Solve for x
    x = 135,940.62/350.20
  6. Step 6: Final answer
    x = 388.18

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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.