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Finding the Fourth Proportional to 644.76, 965.30 and 439.02

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Solution

The fourth proportional to 644.76, 965.30 and 439.02 is: 657.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.76 : 965.30 = 439.02 : x
  2. Step 2: Convert to fraction form
    644.76/965.30 = 439.02/x
  3. Step 3: Cross multiply
    644.76x = 965.30 × 439.02
  4. Step 4: Simplify right side
    644.76x = 423,786.01
  5. Step 5: Solve for x
    x = 423,786.01/644.76
  6. Step 6: Final answer
    x = 657.28

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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.