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Finding the Fourth Proportional to 433.46, 650.28 and 144.90

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Solution

The fourth proportional to 433.46, 650.28 and 144.90 is: 217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.46 : 650.28 = 144.90 : x
  2. Step 2: Convert to fraction form
    433.46/650.28 = 144.90/x
  3. Step 3: Cross multiply
    433.46x = 650.28 × 144.90
  4. Step 4: Simplify right side
    433.46x = 94,225.57
  5. Step 5: Solve for x
    x = 94,225.57/433.46
  6. Step 6: Final answer
    x = 217.38

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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.