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Finding the Fourth Proportional to 480.63, 663.57 and 323.49

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Solution

The fourth proportional to 480.63, 663.57 and 323.49 is: 446.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.63 : 663.57 = 323.49 : x
  2. Step 2: Convert to fraction form
    480.63/663.57 = 323.49/x
  3. Step 3: Cross multiply
    480.63x = 663.57 × 323.49
  4. Step 4: Simplify right side
    480.63x = 214,658.26
  5. Step 5: Solve for x
    x = 214,658.26/480.63
  6. Step 6: Final answer
    x = 446.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.