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Finding the Fourth Proportional to 493.68, 677.28 and 480.96

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Solution

The fourth proportional to 493.68, 677.28 and 480.96 is: 659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.68 : 677.28 = 480.96 : x
  2. Step 2: Convert to fraction form
    493.68/677.28 = 480.96/x
  3. Step 3: Cross multiply
    493.68x = 677.28 × 480.96
  4. Step 4: Simplify right side
    493.68x = 325,744.59
  5. Step 5: Solve for x
    x = 325,744.59/493.68
  6. Step 6: Final answer
    x = 659.83

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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.