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Finding the Fourth Proportional to 486.74, 729.11 and 323.90

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Solution

The fourth proportional to 486.74, 729.11 and 323.90 is: 485.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.74 : 729.11 = 323.90 : x
  2. Step 2: Convert to fraction form
    486.74/729.11 = 323.90/x
  3. Step 3: Cross multiply
    486.74x = 729.11 × 323.90
  4. Step 4: Simplify right side
    486.74x = 236,158.73
  5. Step 5: Solve for x
    x = 236,158.73/486.74
  6. Step 6: Final answer
    x = 485.18

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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.