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Finding the Fourth Proportional to 386.68, 579.69 and 170.09

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Solution

The fourth proportional to 386.68, 579.69 and 170.09 is: 254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.68 : 579.69 = 170.09 : x
  2. Step 2: Convert to fraction form
    386.68/579.69 = 170.09/x
  3. Step 3: Cross multiply
    386.68x = 579.69 × 170.09
  4. Step 4: Simplify right side
    386.68x = 98,599.47
  5. Step 5: Solve for x
    x = 98,599.47/386.68
  6. Step 6: Final answer
    x = 254.99

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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.