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Finding the Fourth Proportional to 307.02, 422.31 and 247.64

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Solution

The fourth proportional to 307.02, 422.31 and 247.64 is: 340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.02 : 422.31 = 247.64 : x
  2. Step 2: Convert to fraction form
    307.02/422.31 = 247.64/x
  3. Step 3: Cross multiply
    307.02x = 422.31 × 247.64
  4. Step 4: Simplify right side
    307.02x = 104,582.04
  5. Step 5: Solve for x
    x = 104,582.04/307.02
  6. Step 6: Final answer
    x = 340.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.