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Finding the Fourth Proportional to 644.38, 967.38 and 436.84

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Solution

The fourth proportional to 644.38, 967.38 and 436.84 is: 655.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.38 : 967.38 = 436.84 : x
  2. Step 2: Convert to fraction form
    644.38/967.38 = 436.84/x
  3. Step 3: Cross multiply
    644.38x = 967.38 × 436.84
  4. Step 4: Simplify right side
    644.38x = 422,590.28
  5. Step 5: Solve for x
    x = 422,590.28/644.38
  6. Step 6: Final answer
    x = 655.81

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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.