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Finding the Fourth Proportional to 512.34, 768.54 and 308.22

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Solution

The fourth proportional to 512.34, 768.54 and 308.22 is: 462.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.34 : 768.54 = 308.22 : x
  2. Step 2: Convert to fraction form
    512.34/768.54 = 308.22/x
  3. Step 3: Cross multiply
    512.34x = 768.54 × 308.22
  4. Step 4: Simplify right side
    512.34x = 236,880.26
  5. Step 5: Solve for x
    x = 236,880.26/512.34
  6. Step 6: Final answer
    x = 462.35

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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.