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Finding the Fourth Proportional to 375.71, 518.46 and 209.91

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Solution

The fourth proportional to 375.71, 518.46 and 209.91 is: 289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.71 : 518.46 = 209.91 : x
  2. Step 2: Convert to fraction form
    375.71/518.46 = 209.91/x
  3. Step 3: Cross multiply
    375.71x = 518.46 × 209.91
  4. Step 4: Simplify right side
    375.71x = 108,829.94
  5. Step 5: Solve for x
    x = 108,829.94/375.71
  6. Step 6: Final answer
    x = 289.67

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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.