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Finding the Fourth Proportional to 375.75, 518.46 and 209.95

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Solution

The fourth proportional to 375.75, 518.46 and 209.95 is: 289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.75 : 518.46 = 209.95 : x
  2. Step 2: Convert to fraction form
    375.75/518.46 = 209.95/x
  3. Step 3: Cross multiply
    375.75x = 518.46 × 209.95
  4. Step 4: Simplify right side
    375.75x = 108,849.63
  5. Step 5: Solve for x
    x = 108,849.63/375.75
  6. Step 6: Final answer
    x = 289.69

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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.