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Finding the Fourth Proportional to 386.53, 580.15 and 345.33

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Solution

The fourth proportional to 386.53, 580.15 and 345.33 is: 518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.53 : 580.15 = 345.33 : x
  2. Step 2: Convert to fraction form
    386.53/580.15 = 345.33/x
  3. Step 3: Cross multiply
    386.53x = 580.15 × 345.33
  4. Step 4: Simplify right side
    386.53x = 200,342.92
  5. Step 5: Solve for x
    x = 200,342.92/386.53
  6. Step 6: Final answer
    x = 518.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.