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Finding the Fourth Proportional to 386.44, 578.93 and 191.22

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Solution

The fourth proportional to 386.44, 578.93 and 191.22 is: 286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.44 : 578.93 = 191.22 : x
  2. Step 2: Convert to fraction form
    386.44/578.93 = 191.22/x
  3. Step 3: Cross multiply
    386.44x = 578.93 × 191.22
  4. Step 4: Simplify right side
    386.44x = 110,701.30
  5. Step 5: Solve for x
    x = 110,701.30/386.44
  6. Step 6: Final answer
    x = 286.46

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Why These Related Problems?

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