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Finding the Fourth Proportional to 433.24, 650.10 and 227.84

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Solution

The fourth proportional to 433.24, 650.10 and 227.84 is: 341.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.24 : 650.10 = 227.84 : x
  2. Step 2: Convert to fraction form
    433.24/650.10 = 227.84/x
  3. Step 3: Cross multiply
    433.24x = 650.10 × 227.84
  4. Step 4: Simplify right side
    433.24x = 148,118.78
  5. Step 5: Solve for x
    x = 148,118.78/433.24
  6. Step 6: Final answer
    x = 341.89

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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.