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Finding the Fourth Proportional to 512.68, 768.54 and 339.40

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Solution

The fourth proportional to 512.68, 768.54 and 339.40 is: 508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.68 : 768.54 = 339.40 : x
  2. Step 2: Convert to fraction form
    512.68/768.54 = 339.40/x
  3. Step 3: Cross multiply
    512.68x = 768.54 × 339.40
  4. Step 4: Simplify right side
    512.68x = 260,842.48
  5. Step 5: Solve for x
    x = 260,842.48/512.68
  6. Step 6: Final answer
    x = 508.78

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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.