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Finding the Fourth Proportional to 371.94, 557.54 and 209.26

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Solution

The fourth proportional to 371.94, 557.54 and 209.26 is: 313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.94 : 557.54 = 209.26 : x
  2. Step 2: Convert to fraction form
    371.94/557.54 = 209.26/x
  3. Step 3: Cross multiply
    371.94x = 557.54 × 209.26
  4. Step 4: Simplify right side
    371.94x = 116,670.82
  5. Step 5: Solve for x
    x = 116,670.82/371.94
  6. Step 6: Final answer
    x = 313.68

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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.