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Finding the Fourth Proportional to 386.28, 533.06 and 218.22

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Solution

The fourth proportional to 386.28, 533.06 and 218.22 is: 301.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.28 : 533.06 = 218.22 : x
  2. Step 2: Convert to fraction form
    386.28/533.06 = 218.22/x
  3. Step 3: Cross multiply
    386.28x = 533.06 × 218.22
  4. Step 4: Simplify right side
    386.28x = 116,324.90
  5. Step 5: Solve for x
    x = 116,324.90/386.28
  6. Step 6: Final answer
    x = 301.14

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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.