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Finding the Fourth Proportional to 386.79, 533.77 and 229.43

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Solution

The fourth proportional to 386.79, 533.77 and 229.43 is: 316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.79 : 533.77 = 229.43 : x
  2. Step 2: Convert to fraction form
    386.79/533.77 = 229.43/x
  3. Step 3: Cross multiply
    386.79x = 533.77 × 229.43
  4. Step 4: Simplify right side
    386.79x = 122,464.90
  5. Step 5: Solve for x
    x = 122,464.90/386.79
  6. Step 6: Final answer
    x = 316.62

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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.