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Finding the Fourth Proportional to 643.36, 965.04 and 210.60

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Solution

The fourth proportional to 643.36, 965.04 and 210.60 is: 315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.36 : 965.04 = 210.60 : x
  2. Step 2: Convert to fraction form
    643.36/965.04 = 210.60/x
  3. Step 3: Cross multiply
    643.36x = 965.04 × 210.60
  4. Step 4: Simplify right side
    643.36x = 203,237.42
  5. Step 5: Solve for x
    x = 203,237.42/643.36
  6. Step 6: Final answer
    x = 315.90

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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.