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Finding the Fourth Proportional to 439.92, 605.46 and 404.96

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Solution

The fourth proportional to 439.92, 605.46 and 404.96 is: 557.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.92 : 605.46 = 404.96 : x
  2. Step 2: Convert to fraction form
    439.92/605.46 = 404.96/x
  3. Step 3: Cross multiply
    439.92x = 605.46 × 404.96
  4. Step 4: Simplify right side
    439.92x = 245,187.08
  5. Step 5: Solve for x
    x = 245,187.08/439.92
  6. Step 6: Final answer
    x = 557.34

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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.