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Finding the Fourth Proportional to 643.31, 964.79 and 253.32

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Solution

The fourth proportional to 643.31, 964.79 and 253.32 is: 379.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.31 : 964.79 = 253.32 : x
  2. Step 2: Convert to fraction form
    643.31/964.79 = 253.32/x
  3. Step 3: Cross multiply
    643.31x = 964.79 × 253.32
  4. Step 4: Simplify right side
    643.31x = 244,400.60
  5. Step 5: Solve for x
    x = 244,400.60/643.31
  6. Step 6: Final answer
    x = 379.91

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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.