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Finding the Fourth Proportional to 646.54, 969.44 and 441.35

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Solution

The fourth proportional to 646.54, 969.44 and 441.35 is: 661.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.54 : 969.44 = 441.35 : x
  2. Step 2: Convert to fraction form
    646.54/969.44 = 441.35/x
  3. Step 3: Cross multiply
    646.54x = 969.44 × 441.35
  4. Step 4: Simplify right side
    646.54x = 427,863.11
  5. Step 5: Solve for x
    x = 427,863.11/646.54
  6. Step 6: Final answer
    x = 661.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.