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Finding the Fourth Proportional to 699.97, 965.96 and 385.22

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Solution

The fourth proportional to 699.97, 965.96 and 385.22 is: 531.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.97 : 965.96 = 385.22 : x
  2. Step 2: Convert to fraction form
    699.97/965.96 = 385.22/x
  3. Step 3: Cross multiply
    699.97x = 965.96 × 385.22
  4. Step 4: Simplify right side
    699.97x = 372,110.49
  5. Step 5: Solve for x
    x = 372,110.49/699.97
  6. Step 6: Final answer
    x = 531.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.