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Finding the Fourth Proportional to 386.51, 580.08 and 170.06

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Solution

The fourth proportional to 386.51, 580.08 and 170.06 is: 255.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.51 : 580.08 = 170.06 : x
  2. Step 2: Convert to fraction form
    386.51/580.08 = 170.06/x
  3. Step 3: Cross multiply
    386.51x = 580.08 × 170.06
  4. Step 4: Simplify right side
    386.51x = 98,648.40
  5. Step 5: Solve for x
    x = 98,648.40/386.51
  6. Step 6: Final answer
    x = 255.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.