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Finding the Fourth Proportional to 643.81, 965.06 and 369.33

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Solution

The fourth proportional to 643.81, 965.06 and 369.33 is: 553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.81 : 965.06 = 369.33 : x
  2. Step 2: Convert to fraction form
    643.81/965.06 = 369.33/x
  3. Step 3: Cross multiply
    643.81x = 965.06 × 369.33
  4. Step 4: Simplify right side
    643.81x = 356,423.76
  5. Step 5: Solve for x
    x = 356,423.76/643.81
  6. Step 6: Final answer
    x = 553.62

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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.