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Finding the Fourth Proportional to 643.01, 964.31 and 232.03

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Solution

The fourth proportional to 643.01, 964.31 and 232.03 is: 347.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.01 : 964.31 = 232.03 : x
  2. Step 2: Convert to fraction form
    643.01/964.31 = 232.03/x
  3. Step 3: Cross multiply
    643.01x = 964.31 × 232.03
  4. Step 4: Simplify right side
    643.01x = 223,748.89
  5. Step 5: Solve for x
    x = 223,748.89/643.01
  6. Step 6: Final answer
    x = 347.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.