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Finding the Fourth Proportional to 443.20, 661.52 and 415.84

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Solution

The fourth proportional to 443.20, 661.52 and 415.84 is: 620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.20 : 661.52 = 415.84 : x
  2. Step 2: Convert to fraction form
    443.20/661.52 = 415.84/x
  3. Step 3: Cross multiply
    443.20x = 661.52 × 415.84
  4. Step 4: Simplify right side
    443.20x = 275,086.48
  5. Step 5: Solve for x
    x = 275,086.48/443.20
  6. Step 6: Final answer
    x = 620.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.