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Finding the Fourth Proportional to 386.53, 579.80 and 112.61

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Solution

The fourth proportional to 386.53, 579.80 and 112.61 is: 168.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.53 : 579.80 = 112.61 : x
  2. Step 2: Convert to fraction form
    386.53/579.80 = 112.61/x
  3. Step 3: Cross multiply
    386.53x = 579.80 × 112.61
  4. Step 4: Simplify right side
    386.53x = 65,293.01
  5. Step 5: Solve for x
    x = 65,293.01/386.53
  6. Step 6: Final answer
    x = 168.92

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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.