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Finding the Fourth Proportional to 643.57, 965.00 and 412.31

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Solution

The fourth proportional to 643.57, 965.00 and 412.31 is: 618.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.57 : 965.00 = 412.31 : x
  2. Step 2: Convert to fraction form
    643.57/965.00 = 412.31/x
  3. Step 3: Cross multiply
    643.57x = 965.00 × 412.31
  4. Step 4: Simplify right side
    643.57x = 397,882.59
  5. Step 5: Solve for x
    x = 397,882.59/643.57
  6. Step 6: Final answer
    x = 618.25

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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.