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Finding the Fourth Proportional to 371.26, 557.30 and 208.99

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Solution

The fourth proportional to 371.26, 557.30 and 208.99 is: 313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.26 : 557.30 = 208.99 : x
  2. Step 2: Convert to fraction form
    371.26/557.30 = 208.99/x
  3. Step 3: Cross multiply
    371.26x = 557.30 × 208.99
  4. Step 4: Simplify right side
    371.26x = 116,470.13
  5. Step 5: Solve for x
    x = 116,470.13/371.26
  6. Step 6: Final answer
    x = 313.72

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