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Finding the Fourth Proportional to 485.12, 729.09 and 323.93

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Solution

The fourth proportional to 485.12, 729.09 and 323.93 is: 486.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.12 : 729.09 = 323.93 : x
  2. Step 2: Convert to fraction form
    485.12/729.09 = 323.93/x
  3. Step 3: Cross multiply
    485.12x = 729.09 × 323.93
  4. Step 4: Simplify right side
    485.12x = 236,170.48
  5. Step 5: Solve for x
    x = 236,170.48/485.12
  6. Step 6: Final answer
    x = 486.83

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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.