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Finding the Fourth Proportional to 379.56, 569.56 and 206.24

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Solution

The fourth proportional to 379.56, 569.56 and 206.24 is: 309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.56 : 569.56 = 206.24 : x
  2. Step 2: Convert to fraction form
    379.56/569.56 = 206.24/x
  3. Step 3: Cross multiply
    379.56x = 569.56 × 206.24
  4. Step 4: Simplify right side
    379.56x = 117,466.05
  5. Step 5: Solve for x
    x = 117,466.05/379.56
  6. Step 6: Final answer
    x = 309.48

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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.