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Finding the Fourth Proportional to 386.57, 533.48 and 218.53

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Solution

The fourth proportional to 386.57, 533.48 and 218.53 is: 301.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.57 : 533.48 = 218.53 : x
  2. Step 2: Convert to fraction form
    386.57/533.48 = 218.53/x
  3. Step 3: Cross multiply
    386.57x = 533.48 × 218.53
  4. Step 4: Simplify right side
    386.57x = 116,583.44
  5. Step 5: Solve for x
    x = 116,583.44/386.57
  6. Step 6: Final answer
    x = 301.58

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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.