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Finding the Fourth Proportional to 643.01, 964.91 and 395.75

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Solution

The fourth proportional to 643.01, 964.91 and 395.75 is: 593.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.01 : 964.91 = 395.75 : x
  2. Step 2: Convert to fraction form
    643.01/964.91 = 395.75/x
  3. Step 3: Cross multiply
    643.01x = 964.91 × 395.75
  4. Step 4: Simplify right side
    643.01x = 381,866.53
  5. Step 5: Solve for x
    x = 381,866.53/643.01
  6. Step 6: Final answer
    x = 593.88

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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.