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Finding the Fourth Proportional to 667.08, 919.71 and 445.86

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Solution

The fourth proportional to 667.08, 919.71 and 445.86 is: 614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.08 : 919.71 = 445.86 : x
  2. Step 2: Convert to fraction form
    667.08/919.71 = 445.86/x
  3. Step 3: Cross multiply
    667.08x = 919.71 × 445.86
  4. Step 4: Simplify right side
    667.08x = 410,061.90
  5. Step 5: Solve for x
    x = 410,061.90/667.08
  6. Step 6: Final answer
    x = 614.71

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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.