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Finding the Fourth Proportional to 433.14, 649.71 and 263.22

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Solution

The fourth proportional to 433.14, 649.71 and 263.22 is: 394.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.14 : 649.71 = 263.22 : x
  2. Step 2: Convert to fraction form
    433.14/649.71 = 263.22/x
  3. Step 3: Cross multiply
    433.14x = 649.71 × 263.22
  4. Step 4: Simplify right side
    433.14x = 171,016.67
  5. Step 5: Solve for x
    x = 171,016.67/433.14
  6. Step 6: Final answer
    x = 394.83

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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.