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Finding the Fourth Proportional to 643.35, 965.03 and 232.39

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Solution

The fourth proportional to 643.35, 965.03 and 232.39 is: 348.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.35 : 965.03 = 232.39 : x
  2. Step 2: Convert to fraction form
    643.35/965.03 = 232.39/x
  3. Step 3: Cross multiply
    643.35x = 965.03 × 232.39
  4. Step 4: Simplify right side
    643.35x = 224,263.32
  5. Step 5: Solve for x
    x = 224,263.32/643.35
  6. Step 6: Final answer
    x = 348.59

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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.