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Finding the Fourth Proportional to 433.60, 650.24 and 289.12

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Solution

The fourth proportional to 433.60, 650.24 and 289.12 is: 433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.60 : 650.24 = 289.12 : x
  2. Step 2: Convert to fraction form
    433.60/650.24 = 289.12/x
  3. Step 3: Cross multiply
    433.60x = 650.24 × 289.12
  4. Step 4: Simplify right side
    433.60x = 187,997.39
  5. Step 5: Solve for x
    x = 187,997.39/433.60
  6. Step 6: Final answer
    x = 433.57

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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.