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Finding the Fourth Proportional to 375.14, 517.72 and 209.38

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Solution

The fourth proportional to 375.14, 517.72 and 209.38 is: 288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.14 : 517.72 = 209.38 : x
  2. Step 2: Convert to fraction form
    375.14/517.72 = 209.38/x
  3. Step 3: Cross multiply
    375.14x = 517.72 × 209.38
  4. Step 4: Simplify right side
    375.14x = 108,399.76
  5. Step 5: Solve for x
    x = 108,399.76/375.14
  6. Step 6: Final answer
    x = 288.96

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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.