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Finding the Fourth Proportional to 446.72, 669.47 and 385.97

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Solution

The fourth proportional to 446.72, 669.47 and 385.97 is: 578.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.72 : 669.47 = 385.97 : x
  2. Step 2: Convert to fraction form
    446.72/669.47 = 385.97/x
  3. Step 3: Cross multiply
    446.72x = 669.47 × 385.97
  4. Step 4: Simplify right side
    446.72x = 258,390.06
  5. Step 5: Solve for x
    x = 258,390.06/446.72
  6. Step 6: Final answer
    x = 578.42

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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.