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Finding the Fourth Proportional to 677.44, 935 and 441.68

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Solution

The fourth proportional to 677.44, 935 and 441.68 is: 609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.44 : 935 = 441.68 : x
  2. Step 2: Convert to fraction form
    677.44/935 = 441.68/x
  3. Step 3: Cross multiply
    677.44x = 935 × 441.68
  4. Step 4: Simplify right side
    677.44x = 412,970.80
  5. Step 5: Solve for x
    x = 412,970.80/677.44
  6. Step 6: Final answer
    x = 609.60

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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.