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Finding the Fourth Proportional to 643.48, 965.11 and 232.81

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Solution

The fourth proportional to 643.48, 965.11 and 232.81 is: 349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.48 : 965.11 = 232.81 : x
  2. Step 2: Convert to fraction form
    643.48/965.11 = 232.81/x
  3. Step 3: Cross multiply
    643.48x = 965.11 × 232.81
  4. Step 4: Simplify right side
    643.48x = 224,681.27
  5. Step 5: Solve for x
    x = 224,681.27/643.48
  6. Step 6: Final answer
    x = 349.17

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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.