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Finding the Fourth Proportional to 307.12, 422.10 and 263.12

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Solution

The fourth proportional to 307.12, 422.10 and 263.12 is: 361.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.12 : 422.10 = 263.12 : x
  2. Step 2: Convert to fraction form
    307.12/422.10 = 263.12/x
  3. Step 3: Cross multiply
    307.12x = 422.10 × 263.12
  4. Step 4: Simplify right side
    307.12x = 111,062.95
  5. Step 5: Solve for x
    x = 111,062.95/307.12
  6. Step 6: Final answer
    x = 361.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.