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Finding the Fourth Proportional to 386.26, 578.35 and 203.27

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Solution

The fourth proportional to 386.26, 578.35 and 203.27 is: 304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.26 : 578.35 = 203.27 : x
  2. Step 2: Convert to fraction form
    386.26/578.35 = 203.27/x
  3. Step 3: Cross multiply
    386.26x = 578.35 × 203.27
  4. Step 4: Simplify right side
    386.26x = 117,558.57
  5. Step 5: Solve for x
    x = 117,558.57/386.26
  6. Step 6: Final answer
    x = 304.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.