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Finding the Fourth Proportional to 386.97, 580.65 and 170.70

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Solution

The fourth proportional to 386.97, 580.65 and 170.70 is: 256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.97 : 580.65 = 170.70 : x
  2. Step 2: Convert to fraction form
    386.97/580.65 = 170.70/x
  3. Step 3: Cross multiply
    386.97x = 580.65 × 170.70
  4. Step 4: Simplify right side
    386.97x = 99,116.96
  5. Step 5: Solve for x
    x = 99,116.96/386.97
  6. Step 6: Final answer
    x = 256.14

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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.