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Finding the Fourth Proportional to 699.82, 965.78 and 385.10

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Solution

The fourth proportional to 699.82, 965.78 and 385.10 is: 531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.82 : 965.78 = 385.10 : x
  2. Step 2: Convert to fraction form
    699.82/965.78 = 385.10/x
  3. Step 3: Cross multiply
    699.82x = 965.78 × 385.10
  4. Step 4: Simplify right side
    699.82x = 371,922.63
  5. Step 5: Solve for x
    x = 371,922.63/699.82
  6. Step 6: Final answer
    x = 531.45

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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.