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Finding the Fourth Proportional to 386.53, 579.93 and 126.54

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Solution

The fourth proportional to 386.53, 579.93 and 126.54 is: 189.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.53 : 579.93 = 126.54 : x
  2. Step 2: Convert to fraction form
    386.53/579.93 = 126.54/x
  3. Step 3: Cross multiply
    386.53x = 579.93 × 126.54
  4. Step 4: Simplify right side
    386.53x = 73,383.94
  5. Step 5: Solve for x
    x = 73,383.94/386.53
  6. Step 6: Final answer
    x = 189.85

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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.