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Finding the Fourth Proportional to 446.08, 667.83 and 308.86

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Solution

The fourth proportional to 446.08, 667.83 and 308.86 is: 462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.08 : 667.83 = 308.86 : x
  2. Step 2: Convert to fraction form
    446.08/667.83 = 308.86/x
  3. Step 3: Cross multiply
    446.08x = 667.83 × 308.86
  4. Step 4: Simplify right side
    446.08x = 206,265.97
  5. Step 5: Solve for x
    x = 206,265.97/446.08
  6. Step 6: Final answer
    x = 462.40

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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.