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Finding the Fourth Proportional to 699.74, 965.66 and 385.01

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Solution

The fourth proportional to 699.74, 965.66 and 385.01 is: 531.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.74 : 965.66 = 385.01 : x
  2. Step 2: Convert to fraction form
    699.74/965.66 = 385.01/x
  3. Step 3: Cross multiply
    699.74x = 965.66 × 385.01
  4. Step 4: Simplify right side
    699.74x = 371,789.25
  5. Step 5: Solve for x
    x = 371,789.25/699.74
  6. Step 6: Final answer
    x = 531.33

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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.