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Finding the Fourth Proportional to 646.20, 969.93 and 461.32

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Solution

The fourth proportional to 646.20, 969.93 and 461.32 is: 692.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.20 : 969.93 = 461.32 : x
  2. Step 2: Convert to fraction form
    646.20/969.93 = 461.32/x
  3. Step 3: Cross multiply
    646.20x = 969.93 × 461.32
  4. Step 4: Simplify right side
    646.20x = 447,445.68
  5. Step 5: Solve for x
    x = 447,445.68/646.20
  6. Step 6: Final answer
    x = 692.43

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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.