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Finding the Fourth Proportional to 386.52, 579.97 and 194.13

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Solution

The fourth proportional to 386.52, 579.97 and 194.13 is: 291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.52 : 579.97 = 194.13 : x
  2. Step 2: Convert to fraction form
    386.52/579.97 = 194.13/x
  3. Step 3: Cross multiply
    386.52x = 579.97 × 194.13
  4. Step 4: Simplify right side
    386.52x = 112,586.68
  5. Step 5: Solve for x
    x = 112,586.68/386.52
  6. Step 6: Final answer
    x = 291.29

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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.