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Finding the Fourth Proportional to 386.67, 533.52 and 220.86

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Solution

The fourth proportional to 386.67, 533.52 and 220.86 is: 304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.67 : 533.52 = 220.86 : x
  2. Step 2: Convert to fraction form
    386.67/533.52 = 220.86/x
  3. Step 3: Cross multiply
    386.67x = 533.52 × 220.86
  4. Step 4: Simplify right side
    386.67x = 117,833.23
  5. Step 5: Solve for x
    x = 117,833.23/386.67
  6. Step 6: Final answer
    x = 304.74

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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.