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Finding the Fourth Proportional to 375.36, 518.05 and 209.63

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Solution

The fourth proportional to 375.36, 518.05 and 209.63 is: 289.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.36 : 518.05 = 209.63 : x
  2. Step 2: Convert to fraction form
    375.36/518.05 = 209.63/x
  3. Step 3: Cross multiply
    375.36x = 518.05 × 209.63
  4. Step 4: Simplify right side
    375.36x = 108,595.56
  5. Step 5: Solve for x
    x = 108,595.56/375.36
  6. Step 6: Final answer
    x = 289.31

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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.