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Finding the Fourth Proportional to 350.98, 525.34 and 259.64

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Solution

The fourth proportional to 350.98, 525.34 and 259.64 is: 388.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.98 : 525.34 = 259.64 : x
  2. Step 2: Convert to fraction form
    350.98/525.34 = 259.64/x
  3. Step 3: Cross multiply
    350.98x = 525.34 × 259.64
  4. Step 4: Simplify right side
    350.98x = 136,399.28
  5. Step 5: Solve for x
    x = 136,399.28/350.98
  6. Step 6: Final answer
    x = 388.62

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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.