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Finding the Fourth Proportional to 513.92, 769.68 and 446

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Solution

The fourth proportional to 513.92, 769.68 and 446 is: 667.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.92 : 769.68 = 446 : x
  2. Step 2: Convert to fraction form
    513.92/769.68 = 446/x
  3. Step 3: Cross multiply
    513.92x = 769.68 × 446
  4. Step 4: Simplify right side
    513.92x = 343,277.28
  5. Step 5: Solve for x
    x = 343,277.28/513.92
  6. Step 6: Final answer
    x = 667.96

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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.