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Finding the Fourth Proportional to 486.30, 728.64 and 323.91

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Solution

The fourth proportional to 486.30, 728.64 and 323.91 is: 485.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.30 : 728.64 = 323.91 : x
  2. Step 2: Convert to fraction form
    486.30/728.64 = 323.91/x
  3. Step 3: Cross multiply
    486.30x = 728.64 × 323.91
  4. Step 4: Simplify right side
    486.30x = 236,013.78
  5. Step 5: Solve for x
    x = 236,013.78/486.30
  6. Step 6: Final answer
    x = 485.33

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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.