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Finding the Fourth Proportional to 323.04, 480.85 and 308.10

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Solution

The fourth proportional to 323.04, 480.85 and 308.10 is: 458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.04 : 480.85 = 308.10 : x
  2. Step 2: Convert to fraction form
    323.04/480.85 = 308.10/x
  3. Step 3: Cross multiply
    323.04x = 480.85 × 308.10
  4. Step 4: Simplify right side
    323.04x = 148,149.89
  5. Step 5: Solve for x
    x = 148,149.89/323.04
  6. Step 6: Final answer
    x = 458.61

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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.