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Finding the Fourth Proportional to 677.03, 934.34 and 481.41

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Solution

The fourth proportional to 677.03, 934.34 and 481.41 is: 664.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.03 : 934.34 = 481.41 : x
  2. Step 2: Convert to fraction form
    677.03/934.34 = 481.41/x
  3. Step 3: Cross multiply
    677.03x = 934.34 × 481.41
  4. Step 4: Simplify right side
    677.03x = 449,798.21
  5. Step 5: Solve for x
    x = 449,798.21/677.03
  6. Step 6: Final answer
    x = 664.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.