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Finding the Fourth Proportional to 386.37, 533.15 and 220.57

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Solution

The fourth proportional to 386.37, 533.15 and 220.57 is: 304.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.37 : 533.15 = 220.57 : x
  2. Step 2: Convert to fraction form
    386.37/533.15 = 220.57/x
  3. Step 3: Cross multiply
    386.37x = 533.15 × 220.57
  4. Step 4: Simplify right side
    386.37x = 117,596.90
  5. Step 5: Solve for x
    x = 117,596.90/386.37
  6. Step 6: Final answer
    x = 304.36

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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.