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Finding the Fourth Proportional to 965.98, 1,449.50 and 350.12

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Solution

The fourth proportional to 965.98, 1,449.50 and 350.12 is: 525.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.98 : 1,449.50 = 350.12 : x
  2. Step 2: Convert to fraction form
    965.98/1,449.50 = 350.12/x
  3. Step 3: Cross multiply
    965.98x = 1,449.50 × 350.12
  4. Step 4: Simplify right side
    965.98x = 507,498.94
  5. Step 5: Solve for x
    x = 507,498.94/965.98
  6. Step 6: Final answer
    x = 525.37

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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.