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Finding the Fourth Proportional to 445.28, 667.98 and 262.76

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Solution

The fourth proportional to 445.28, 667.98 and 262.76 is: 394.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.28 : 667.98 = 262.76 : x
  2. Step 2: Convert to fraction form
    445.28/667.98 = 262.76/x
  3. Step 3: Cross multiply
    445.28x = 667.98 × 262.76
  4. Step 4: Simplify right side
    445.28x = 175,515.08
  5. Step 5: Solve for x
    x = 175,515.08/445.28
  6. Step 6: Final answer
    x = 394.17

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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.