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Finding the Fourth Proportional to 512.67, 767.94 and 409.41

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Solution

The fourth proportional to 512.67, 767.94 and 409.41 is: 613.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.67 : 767.94 = 409.41 : x
  2. Step 2: Convert to fraction form
    512.67/767.94 = 409.41/x
  3. Step 3: Cross multiply
    512.67x = 767.94 × 409.41
  4. Step 4: Simplify right side
    512.67x = 314,402.32
  5. Step 5: Solve for x
    x = 314,402.32/512.67
  6. Step 6: Final answer
    x = 613.26

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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.