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Finding the Fourth Proportional to 485.41, 724.59 and 449.27

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Solution

The fourth proportional to 485.41, 724.59 and 449.27 is: 670.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.41 : 724.59 = 449.27 : x
  2. Step 2: Convert to fraction form
    485.41/724.59 = 449.27/x
  3. Step 3: Cross multiply
    485.41x = 724.59 × 449.27
  4. Step 4: Simplify right side
    485.41x = 325,540.05
  5. Step 5: Solve for x
    x = 325,540.05/485.41
  6. Step 6: Final answer
    x = 670.65

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Why These Related Problems?

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