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Finding the Fourth Proportional to 296.83, 409.73 and 255.22

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Solution

The fourth proportional to 296.83, 409.73 and 255.22 is: 352.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.83 : 409.73 = 255.22 : x
  2. Step 2: Convert to fraction form
    296.83/409.73 = 255.22/x
  3. Step 3: Cross multiply
    296.83x = 409.73 × 255.22
  4. Step 4: Simplify right side
    296.83x = 104,568.99
  5. Step 5: Solve for x
    x = 104,568.99/296.83
  6. Step 6: Final answer
    x = 352.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.