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Finding the Fourth Proportional to 307.69, 461.91 and 239.11

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Solution

The fourth proportional to 307.69, 461.91 and 239.11 is: 358.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.69 : 461.91 = 239.11 : x
  2. Step 2: Convert to fraction form
    307.69/461.91 = 239.11/x
  3. Step 3: Cross multiply
    307.69x = 461.91 × 239.11
  4. Step 4: Simplify right side
    307.69x = 110,447.30
  5. Step 5: Solve for x
    x = 110,447.30/307.69
  6. Step 6: Final answer
    x = 358.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.