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Finding the Fourth Proportional to 275.44, 379.71 and 209.83

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Solution

The fourth proportional to 275.44, 379.71 and 209.83 is: 289.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.44 : 379.71 = 209.83 : x
  2. Step 2: Convert to fraction form
    275.44/379.71 = 209.83/x
  3. Step 3: Cross multiply
    275.44x = 379.71 × 209.83
  4. Step 4: Simplify right side
    275.44x = 79,674.55
  5. Step 5: Solve for x
    x = 79,674.55/275.44
  6. Step 6: Final answer
    x = 289.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.