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Finding the Fourth Proportional to 375.42, 518.09 and 209.64

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Solution

The fourth proportional to 375.42, 518.09 and 209.64 is: 289.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.42 : 518.09 = 209.64 : x
  2. Step 2: Convert to fraction form
    375.42/518.09 = 209.64/x
  3. Step 3: Cross multiply
    375.42x = 518.09 × 209.64
  4. Step 4: Simplify right side
    375.42x = 108,611.34
  5. Step 5: Solve for x
    x = 108,611.34/375.42
  6. Step 6: Final answer
    x = 289.31

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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.