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Finding the Fourth Proportional to 375.42, 518.04 and 209.62

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Solution

The fourth proportional to 375.42, 518.04 and 209.62 is: 289.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.42 : 518.04 = 209.62 : x
  2. Step 2: Convert to fraction form
    375.42/518.04 = 209.62/x
  3. Step 3: Cross multiply
    375.42x = 518.04 × 209.62
  4. Step 4: Simplify right side
    375.42x = 108,591.54
  5. Step 5: Solve for x
    x = 108,591.54/375.42
  6. Step 6: Final answer
    x = 289.25

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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.