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Finding the Fourth Proportional to 512.18, 769.31 and 307.14

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Solution

The fourth proportional to 512.18, 769.31 and 307.14 is: 461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.18 : 769.31 = 307.14 : x
  2. Step 2: Convert to fraction form
    512.18/769.31 = 307.14/x
  3. Step 3: Cross multiply
    512.18x = 769.31 × 307.14
  4. Step 4: Simplify right side
    512.18x = 236,284.34
  5. Step 5: Solve for x
    x = 236,284.34/512.18
  6. Step 6: Final answer
    x = 461.33

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