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Finding the Fourth Proportional to 386.22, 580.41 and 193.98

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Solution

The fourth proportional to 386.22, 580.41 and 193.98 is: 291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.22 : 580.41 = 193.98 : x
  2. Step 2: Convert to fraction form
    386.22/580.41 = 193.98/x
  3. Step 3: Cross multiply
    386.22x = 580.41 × 193.98
  4. Step 4: Simplify right side
    386.22x = 112,587.93
  5. Step 5: Solve for x
    x = 112,587.93/386.22
  6. Step 6: Final answer
    x = 291.51

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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.