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Finding the Fourth Proportional to 512.31, 769.49 and 307.26

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Solution

The fourth proportional to 512.31, 769.49 and 307.26 is: 461.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.31 : 769.49 = 307.26 : x
  2. Step 2: Convert to fraction form
    512.31/769.49 = 307.26/x
  3. Step 3: Cross multiply
    512.31x = 769.49 × 307.26
  4. Step 4: Simplify right side
    512.31x = 236,433.50
  5. Step 5: Solve for x
    x = 236,433.50/512.31
  6. Step 6: Final answer
    x = 461.50

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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.