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Finding the Fourth Proportional to 646.88, 968.10 and 441.20

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Solution

The fourth proportional to 646.88, 968.10 and 441.20 is: 660.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.88 : 968.10 = 441.20 : x
  2. Step 2: Convert to fraction form
    646.88/968.10 = 441.20/x
  3. Step 3: Cross multiply
    646.88x = 968.10 × 441.20
  4. Step 4: Simplify right side
    646.88x = 427,125.72
  5. Step 5: Solve for x
    x = 427,125.72/646.88
  6. Step 6: Final answer
    x = 660.29

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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.