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Finding the Fourth Proportional to 647.28, 892.44 and 522.48

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Solution

The fourth proportional to 647.28, 892.44 and 522.48 is: 720.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.28 : 892.44 = 522.48 : x
  2. Step 2: Convert to fraction form
    647.28/892.44 = 522.48/x
  3. Step 3: Cross multiply
    647.28x = 892.44 × 522.48
  4. Step 4: Simplify right side
    647.28x = 466,282.05
  5. Step 5: Solve for x
    x = 466,282.05/647.28
  6. Step 6: Final answer
    x = 720.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.