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Finding the Fourth Proportional to 379.66, 569.05 and 263.73

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Solution

The fourth proportional to 379.66, 569.05 and 263.73 is: 395.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.66 : 569.05 = 263.73 : x
  2. Step 2: Convert to fraction form
    379.66/569.05 = 263.73/x
  3. Step 3: Cross multiply
    379.66x = 569.05 × 263.73
  4. Step 4: Simplify right side
    379.66x = 150,075.56
  5. Step 5: Solve for x
    x = 150,075.56/379.66
  6. Step 6: Final answer
    x = 395.29

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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.