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Finding the Fourth Proportional to 441.60, 662.76 and 406.32

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Solution

The fourth proportional to 441.60, 662.76 and 406.32 is: 609.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.60 : 662.76 = 406.32 : x
  2. Step 2: Convert to fraction form
    441.60/662.76 = 406.32/x
  3. Step 3: Cross multiply
    441.60x = 662.76 × 406.32
  4. Step 4: Simplify right side
    441.60x = 269,292.64
  5. Step 5: Solve for x
    x = 269,292.64/441.60
  6. Step 6: Final answer
    x = 609.81

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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.