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Finding the Fourth Proportional to 386.46, 579.56 and 112.55

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Solution

The fourth proportional to 386.46, 579.56 and 112.55 is: 168.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.46 : 579.56 = 112.55 : x
  2. Step 2: Convert to fraction form
    386.46/579.56 = 112.55/x
  3. Step 3: Cross multiply
    386.46x = 579.56 × 112.55
  4. Step 4: Simplify right side
    386.46x = 65,226.02
  5. Step 5: Solve for x
    x = 65,226.02/386.46
  6. Step 6: Final answer
    x = 168.78

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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.