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Finding the Fourth Proportional to 498.44, 687.74 and 404.48

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Solution

The fourth proportional to 498.44, 687.74 and 404.48 is: 558.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.44 : 687.74 = 404.48 : x
  2. Step 2: Convert to fraction form
    498.44/687.74 = 404.48/x
  3. Step 3: Cross multiply
    498.44x = 687.74 × 404.48
  4. Step 4: Simplify right side
    498.44x = 278,171.61
  5. Step 5: Solve for x
    x = 278,171.61/498.44
  6. Step 6: Final answer
    x = 558.09

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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.