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Finding the Fourth Proportional to 646.29, 968.73 and 333.96

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Solution

The fourth proportional to 646.29, 968.73 and 333.96 is: 500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.29 : 968.73 = 333.96 : x
  2. Step 2: Convert to fraction form
    646.29/968.73 = 333.96/x
  3. Step 3: Cross multiply
    646.29x = 968.73 × 333.96
  4. Step 4: Simplify right side
    646.29x = 323,517.07
  5. Step 5: Solve for x
    x = 323,517.07/646.29
  6. Step 6: Final answer
    x = 500.58

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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.