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Finding the Fourth Proportional to 299.63, 410.67 and 296.16

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Solution

The fourth proportional to 299.63, 410.67 and 296.16 is: 405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.63 : 410.67 = 296.16 : x
  2. Step 2: Convert to fraction form
    299.63/410.67 = 296.16/x
  3. Step 3: Cross multiply
    299.63x = 410.67 × 296.16
  4. Step 4: Simplify right side
    299.63x = 121,622.49
  5. Step 5: Solve for x
    x = 121,622.49/299.63
  6. Step 6: Final answer
    x = 405.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.