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Finding the Fourth Proportional to 421.60, 582.26 and 329.44

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Solution

The fourth proportional to 421.60, 582.26 and 329.44 is: 454.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.60 : 582.26 = 329.44 : x
  2. Step 2: Convert to fraction form
    421.60/582.26 = 329.44/x
  3. Step 3: Cross multiply
    421.60x = 582.26 × 329.44
  4. Step 4: Simplify right side
    421.60x = 191,819.73
  5. Step 5: Solve for x
    x = 191,819.73/421.60
  6. Step 6: Final answer
    x = 454.98

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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.