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Finding the Fourth Proportional to 311.13, 429.44 and 296.46

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Solution

The fourth proportional to 311.13, 429.44 and 296.46 is: 409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.13 : 429.44 = 296.46 : x
  2. Step 2: Convert to fraction form
    311.13/429.44 = 296.46/x
  3. Step 3: Cross multiply
    311.13x = 429.44 × 296.46
  4. Step 4: Simplify right side
    311.13x = 127,310.30
  5. Step 5: Solve for x
    x = 127,310.30/311.13
  6. Step 6: Final answer
    x = 409.19

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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.