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Finding the Fourth Proportional to 485.42, 726.71 and 447.12

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Solution

The fourth proportional to 485.42, 726.71 and 447.12 is: 669.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.42 : 726.71 = 447.12 : x
  2. Step 2: Convert to fraction form
    485.42/726.71 = 447.12/x
  3. Step 3: Cross multiply
    485.42x = 726.71 × 447.12
  4. Step 4: Simplify right side
    485.42x = 324,924.34
  5. Step 5: Solve for x
    x = 324,924.34/485.42
  6. Step 6: Final answer
    x = 669.37

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