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Finding the Fourth Proportional to 375.53, 518.17 and 209.74

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Solution

The fourth proportional to 375.53, 518.17 and 209.74 is: 289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.53 : 518.17 = 209.74 : x
  2. Step 2: Convert to fraction form
    375.53/518.17 = 209.74/x
  3. Step 3: Cross multiply
    375.53x = 518.17 × 209.74
  4. Step 4: Simplify right side
    375.53x = 108,680.98
  5. Step 5: Solve for x
    x = 108,680.98/375.53
  6. Step 6: Final answer
    x = 289.41

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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.