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Finding the Fourth Proportional to 311.33, 429.23 and 259.09

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Solution

The fourth proportional to 311.33, 429.23 and 259.09 is: 357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.33 : 429.23 = 259.09 : x
  2. Step 2: Convert to fraction form
    311.33/429.23 = 259.09/x
  3. Step 3: Cross multiply
    311.33x = 429.23 × 259.09
  4. Step 4: Simplify right side
    311.33x = 111,208.78
  5. Step 5: Solve for x
    x = 111,208.78/311.33
  6. Step 6: Final answer
    x = 357.20

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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.