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Finding the Fourth Proportional to 512.26, 769.40 and 307.23

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Solution

The fourth proportional to 512.26, 769.40 and 307.23 is: 461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.26 : 769.40 = 307.23 : x
  2. Step 2: Convert to fraction form
    512.26/769.40 = 307.23/x
  3. Step 3: Cross multiply
    512.26x = 769.40 × 307.23
  4. Step 4: Simplify right side
    512.26x = 236,382.76
  5. Step 5: Solve for x
    x = 236,382.76/512.26
  6. Step 6: Final answer
    x = 461.45

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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.