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Finding the Fourth Proportional to 446.50, 670.49 and 412.82

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Solution

The fourth proportional to 446.50, 670.49 and 412.82 is: 619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.50 : 670.49 = 412.82 : x
  2. Step 2: Convert to fraction form
    446.50/670.49 = 412.82/x
  3. Step 3: Cross multiply
    446.50x = 670.49 × 412.82
  4. Step 4: Simplify right side
    446.50x = 276,791.68
  5. Step 5: Solve for x
    x = 276,791.68/446.50
  6. Step 6: Final answer
    x = 619.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.