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Finding the Fourth Proportional to 643.02, 965.20 and 318.62

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Solution

The fourth proportional to 643.02, 965.20 and 318.62 is: 478.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.02 : 965.20 = 318.62 : x
  2. Step 2: Convert to fraction form
    643.02/965.20 = 318.62/x
  3. Step 3: Cross multiply
    643.02x = 965.20 × 318.62
  4. Step 4: Simplify right side
    643.02x = 307,532.02
  5. Step 5: Solve for x
    x = 307,532.02/643.02
  6. Step 6: Final answer
    x = 478.26

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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.