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Finding the Fourth Proportional to 386.29, 579.35 and 180.95

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Solution

The fourth proportional to 386.29, 579.35 and 180.95 is: 271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.29 : 579.35 = 180.95 : x
  2. Step 2: Convert to fraction form
    386.29/579.35 = 180.95/x
  3. Step 3: Cross multiply
    386.29x = 579.35 × 180.95
  4. Step 4: Simplify right side
    386.29x = 104,833.38
  5. Step 5: Solve for x
    x = 104,833.38/386.29
  6. Step 6: Final answer
    x = 271.39

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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.