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Finding the Fourth Proportional to 379.65, 569.16 and 206.31

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Solution

The fourth proportional to 379.65, 569.16 and 206.31 is: 309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.65 : 569.16 = 206.31 : x
  2. Step 2: Convert to fraction form
    379.65/569.16 = 206.31/x
  3. Step 3: Cross multiply
    379.65x = 569.16 × 206.31
  4. Step 4: Simplify right side
    379.65x = 117,423.40
  5. Step 5: Solve for x
    x = 117,423.40/379.65
  6. Step 6: Final answer
    x = 309.29

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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.