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Finding the Fourth Proportional to 379.71, 570.57 and 206.49

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Solution

The fourth proportional to 379.71, 570.57 and 206.49 is: 310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.71 : 570.57 = 206.49 : x
  2. Step 2: Convert to fraction form
    379.71/570.57 = 206.49/x
  3. Step 3: Cross multiply
    379.71x = 570.57 × 206.49
  4. Step 4: Simplify right side
    379.71x = 117,817.00
  5. Step 5: Solve for x
    x = 117,817.00/379.71
  6. Step 6: Final answer
    x = 310.28

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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.