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Finding the Fourth Proportional to 498.44, 687.92 and 415.41

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Solution

The fourth proportional to 498.44, 687.92 and 415.41 is: 573.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.44 : 687.92 = 415.41 : x
  2. Step 2: Convert to fraction form
    498.44/687.92 = 415.41/x
  3. Step 3: Cross multiply
    498.44x = 687.92 × 415.41
  4. Step 4: Simplify right side
    498.44x = 285,769.89
  5. Step 5: Solve for x
    x = 285,769.89/498.44
  6. Step 6: Final answer
    x = 573.33

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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.