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Finding the Fourth Proportional to 412.24, 617.82 and 303.52

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Solution

The fourth proportional to 412.24, 617.82 and 303.52 is: 454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.24 : 617.82 = 303.52 : x
  2. Step 2: Convert to fraction form
    412.24/617.82 = 303.52/x
  3. Step 3: Cross multiply
    412.24x = 617.82 × 303.52
  4. Step 4: Simplify right side
    412.24x = 187,520.73
  5. Step 5: Solve for x
    x = 187,520.73/412.24
  6. Step 6: Final answer
    x = 454.88

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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.