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Finding the Fourth Proportional to 445.85, 667.86 and 262.70

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Solution

The fourth proportional to 445.85, 667.86 and 262.70 is: 393.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.85 : 667.86 = 262.70 : x
  2. Step 2: Convert to fraction form
    445.85/667.86 = 262.70/x
  3. Step 3: Cross multiply
    445.85x = 667.86 × 262.70
  4. Step 4: Simplify right side
    445.85x = 175,446.82
  5. Step 5: Solve for x
    x = 175,446.82/445.85
  6. Step 6: Final answer
    x = 393.51

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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.