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Finding the Fourth Proportional to 296.30, 409.11 and 209.09

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Solution

The fourth proportional to 296.30, 409.11 and 209.09 is: 288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.30 : 409.11 = 209.09 : x
  2. Step 2: Convert to fraction form
    296.30/409.11 = 209.09/x
  3. Step 3: Cross multiply
    296.30x = 409.11 × 209.09
  4. Step 4: Simplify right side
    296.30x = 85,540.81
  5. Step 5: Solve for x
    x = 85,540.81/296.30
  6. Step 6: Final answer
    x = 288.70

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Why These Related Problems?

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