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Finding the Fourth Proportional to 493.27, 678.62 and 479.60

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Solution

The fourth proportional to 493.27, 678.62 and 479.60 is: 659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.27 : 678.62 = 479.60 : x
  2. Step 2: Convert to fraction form
    493.27/678.62 = 479.60/x
  3. Step 3: Cross multiply
    493.27x = 678.62 × 479.60
  4. Step 4: Simplify right side
    493.27x = 325,463.75
  5. Step 5: Solve for x
    x = 325,463.75/493.27
  6. Step 6: Final answer
    x = 659.81

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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.