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Finding the Fourth Proportional to 512.93, 768.41 and 307.66

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Solution

The fourth proportional to 512.93, 768.41 and 307.66 is: 460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.93 : 768.41 = 307.66 : x
  2. Step 2: Convert to fraction form
    512.93/768.41 = 307.66/x
  3. Step 3: Cross multiply
    512.93x = 768.41 × 307.66
  4. Step 4: Simplify right side
    512.93x = 236,407.48
  5. Step 5: Solve for x
    x = 236,407.48/512.93
  6. Step 6: Final answer
    x = 460.90

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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.