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Finding the Fourth Proportional to 663.74, 995.41 and 433.85

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Solution

The fourth proportional to 663.74, 995.41 and 433.85 is: 650.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.74 : 995.41 = 433.85 : x
  2. Step 2: Convert to fraction form
    663.74/995.41 = 433.85/x
  3. Step 3: Cross multiply
    663.74x = 995.41 × 433.85
  4. Step 4: Simplify right side
    663.74x = 431,861.12
  5. Step 5: Solve for x
    x = 431,861.12/663.74
  6. Step 6: Final answer
    x = 650.65

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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.