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Finding the Fourth Proportional to 307.23, 462.97 and 254.31

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Solution

The fourth proportional to 307.23, 462.97 and 254.31 is: 383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.23 : 462.97 = 254.31 : x
  2. Step 2: Convert to fraction form
    307.23/462.97 = 254.31/x
  3. Step 3: Cross multiply
    307.23x = 462.97 × 254.31
  4. Step 4: Simplify right side
    307.23x = 117,737.90
  5. Step 5: Solve for x
    x = 117,737.90/307.23
  6. Step 6: Final answer
    x = 383.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.