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Finding the Fourth Proportional to 379.90, 569.52 and 206.46

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Solution

The fourth proportional to 379.90, 569.52 and 206.46 is: 309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.90 : 569.52 = 206.46 : x
  2. Step 2: Convert to fraction form
    379.90/569.52 = 206.46/x
  3. Step 3: Cross multiply
    379.90x = 569.52 × 206.46
  4. Step 4: Simplify right side
    379.90x = 117,583.10
  5. Step 5: Solve for x
    x = 117,583.10/379.90
  6. Step 6: Final answer
    x = 309.51

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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.