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Finding the Fourth Proportional to 646.80, 968.85 and 484.26

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Solution

The fourth proportional to 646.80, 968.85 and 484.26 is: 725.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.80 : 968.85 = 484.26 : x
  2. Step 2: Convert to fraction form
    646.80/968.85 = 484.26/x
  3. Step 3: Cross multiply
    646.80x = 968.85 × 484.26
  4. Step 4: Simplify right side
    646.80x = 469,175.30
  5. Step 5: Solve for x
    x = 469,175.30/646.80
  6. Step 6: Final answer
    x = 725.38

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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.