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Finding the Fourth Proportional to 375.50, 518.19 and 209.71

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Solution

The fourth proportional to 375.50, 518.19 and 209.71 is: 289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.50 : 518.19 = 209.71 : x
  2. Step 2: Convert to fraction form
    375.50/518.19 = 209.71/x
  3. Step 3: Cross multiply
    375.50x = 518.19 × 209.71
  4. Step 4: Simplify right side
    375.50x = 108,667.03
  5. Step 5: Solve for x
    x = 108,667.03/375.50
  6. Step 6: Final answer
    x = 289.39

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