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Finding the Fourth Proportional to 307.67, 461.91 and 266.46

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Solution

The fourth proportional to 307.67, 461.91 and 266.46 is: 400.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.67 : 461.91 = 266.46 : x
  2. Step 2: Convert to fraction form
    307.67/461.91 = 266.46/x
  3. Step 3: Cross multiply
    307.67x = 461.91 × 266.46
  4. Step 4: Simplify right side
    307.67x = 123,080.54
  5. Step 5: Solve for x
    x = 123,080.54/307.67
  6. Step 6: Final answer
    x = 400.05

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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.