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Finding the Fourth Proportional to 643.48, 965.34 and 232.48

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Solution

The fourth proportional to 643.48, 965.34 and 232.48 is: 348.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.48 : 965.34 = 232.48 : x
  2. Step 2: Convert to fraction form
    643.48/965.34 = 232.48/x
  3. Step 3: Cross multiply
    643.48x = 965.34 × 232.48
  4. Step 4: Simplify right side
    643.48x = 224,422.24
  5. Step 5: Solve for x
    x = 224,422.24/643.48
  6. Step 6: Final answer
    x = 348.76

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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.