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Finding the Fourth Proportional to 446.92, 619.38 and 440.09

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Solution

The fourth proportional to 446.92, 619.38 and 440.09 is: 609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.92 : 619.38 = 440.09 : x
  2. Step 2: Convert to fraction form
    446.92/619.38 = 440.09/x
  3. Step 3: Cross multiply
    446.92x = 619.38 × 440.09
  4. Step 4: Simplify right side
    446.92x = 272,582.94
  5. Step 5: Solve for x
    x = 272,582.94/446.92
  6. Step 6: Final answer
    x = 609.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.