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Finding the Fourth Proportional to 643.20, 964.56 and 253.20

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Solution

The fourth proportional to 643.20, 964.56 and 253.20 is: 379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.20 : 964.56 = 253.20 : x
  2. Step 2: Convert to fraction form
    643.20/964.56 = 253.20/x
  3. Step 3: Cross multiply
    643.20x = 964.56 × 253.20
  4. Step 4: Simplify right side
    643.20x = 244,226.59
  5. Step 5: Solve for x
    x = 244,226.59/643.20
  6. Step 6: Final answer
    x = 379.71

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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.