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Finding the Fourth Proportional to 643.19, 965.66 and 398.97

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Solution

The fourth proportional to 643.19, 965.66 and 398.97 is: 599.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.19 : 965.66 = 398.97 : x
  2. Step 2: Convert to fraction form
    643.19/965.66 = 398.97/x
  3. Step 3: Cross multiply
    643.19x = 965.66 × 398.97
  4. Step 4: Simplify right side
    643.19x = 385,267.38
  5. Step 5: Solve for x
    x = 385,267.38/643.19
  6. Step 6: Final answer
    x = 599.00

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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.