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Finding the Fourth Proportional to 644.59, 966.25 and 412.82

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Solution

The fourth proportional to 644.59, 966.25 and 412.82 is: 618.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.59 : 966.25 = 412.82 : x
  2. Step 2: Convert to fraction form
    644.59/966.25 = 412.82/x
  3. Step 3: Cross multiply
    644.59x = 966.25 × 412.82
  4. Step 4: Simplify right side
    644.59x = 398,887.33
  5. Step 5: Solve for x
    x = 398,887.33/644.59
  6. Step 6: Final answer
    x = 618.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.