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Finding the Fourth Proportional to 483.16, 664.33 and 480.04

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Solution

The fourth proportional to 483.16, 664.33 and 480.04 is: 660.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.16 : 664.33 = 480.04 : x
  2. Step 2: Convert to fraction form
    483.16/664.33 = 480.04/x
  3. Step 3: Cross multiply
    483.16x = 664.33 × 480.04
  4. Step 4: Simplify right side
    483.16x = 318,904.97
  5. Step 5: Solve for x
    x = 318,904.97/483.16
  6. Step 6: Final answer
    x = 660.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.