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Finding the Fourth Proportional to 311.49, 429.48 and 259.11

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Solution

The fourth proportional to 311.49, 429.48 and 259.11 is: 357.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.49 : 429.48 = 259.11 : x
  2. Step 2: Convert to fraction form
    311.49/429.48 = 259.11/x
  3. Step 3: Cross multiply
    311.49x = 429.48 × 259.11
  4. Step 4: Simplify right side
    311.49x = 111,282.56
  5. Step 5: Solve for x
    x = 111,282.56/311.49
  6. Step 6: Final answer
    x = 357.26

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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.