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Finding the Fourth Proportional to 386.24, 579.37 and 309.69

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Solution

The fourth proportional to 386.24, 579.37 and 309.69 is: 464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.24 : 579.37 = 309.69 : x
  2. Step 2: Convert to fraction form
    386.24/579.37 = 309.69/x
  3. Step 3: Cross multiply
    386.24x = 579.37 × 309.69
  4. Step 4: Simplify right side
    386.24x = 179,425.10
  5. Step 5: Solve for x
    x = 179,425.10/386.24
  6. Step 6: Final answer
    x = 464.54

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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.