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Finding the Fourth Proportional to 442.60, 663.46 and 279.92

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Solution

The fourth proportional to 442.60, 663.46 and 279.92 is: 419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.60 : 663.46 = 279.92 : x
  2. Step 2: Convert to fraction form
    442.60/663.46 = 279.92/x
  3. Step 3: Cross multiply
    442.60x = 663.46 × 279.92
  4. Step 4: Simplify right side
    442.60x = 185,716.68
  5. Step 5: Solve for x
    x = 185,716.68/442.60
  6. Step 6: Final answer
    x = 419.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.