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Finding the Fourth Proportional to 441.46, 660.97 and 332.92

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Solution

The fourth proportional to 441.46, 660.97 and 332.92 is: 498.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.46 : 660.97 = 332.92 : x
  2. Step 2: Convert to fraction form
    441.46/660.97 = 332.92/x
  3. Step 3: Cross multiply
    441.46x = 660.97 × 332.92
  4. Step 4: Simplify right side
    441.46x = 220,050.13
  5. Step 5: Solve for x
    x = 220,050.13/441.46
  6. Step 6: Final answer
    x = 498.46

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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.