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Finding the Fourth Proportional to 643.80, 966.24 and 426.72

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Solution

The fourth proportional to 643.80, 966.24 and 426.72 is: 640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.80 : 966.24 = 426.72 : x
  2. Step 2: Convert to fraction form
    643.80/966.24 = 426.72/x
  3. Step 3: Cross multiply
    643.80x = 966.24 × 426.72
  4. Step 4: Simplify right side
    643.80x = 412,313.93
  5. Step 5: Solve for x
    x = 412,313.93/643.80
  6. Step 6: Final answer
    x = 640.44

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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.