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Finding the Fourth Proportional to 371.96, 557.46 and 209.36

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Solution

The fourth proportional to 371.96, 557.46 and 209.36 is: 313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.96 : 557.46 = 209.36 : x
  2. Step 2: Convert to fraction form
    371.96/557.46 = 209.36/x
  3. Step 3: Cross multiply
    371.96x = 557.46 × 209.36
  4. Step 4: Simplify right side
    371.96x = 116,709.83
  5. Step 5: Solve for x
    x = 116,709.83/371.96
  6. Step 6: Final answer
    x = 313.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.