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Finding the Fourth Proportional to 699.99, 965.97 and 385.24

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Solution

The fourth proportional to 699.99, 965.97 and 385.24 is: 531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.99 : 965.97 = 385.24 : x
  2. Step 2: Convert to fraction form
    699.99/965.97 = 385.24/x
  3. Step 3: Cross multiply
    699.99x = 965.97 × 385.24
  4. Step 4: Simplify right side
    699.99x = 372,131.25
  5. Step 5: Solve for x
    x = 372,131.25/699.99
  6. Step 6: Final answer
    x = 531.63

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