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Finding the Fourth Proportional to 480.90, 663.44 and 349.62

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Solution

The fourth proportional to 480.90, 663.44 and 349.62 is: 482.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.90 : 663.44 = 349.62 : x
  2. Step 2: Convert to fraction form
    480.90/663.44 = 349.62/x
  3. Step 3: Cross multiply
    480.90x = 663.44 × 349.62
  4. Step 4: Simplify right side
    480.90x = 231,951.89
  5. Step 5: Solve for x
    x = 231,951.89/480.90
  6. Step 6: Final answer
    x = 482.33

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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.