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Finding the Fourth Proportional to 461.32, 692.30 and 414.60

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Solution

The fourth proportional to 461.32, 692.30 and 414.60 is: 622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.32 : 692.30 = 414.60 : x
  2. Step 2: Convert to fraction form
    461.32/692.30 = 414.60/x
  3. Step 3: Cross multiply
    461.32x = 692.30 × 414.60
  4. Step 4: Simplify right side
    461.32x = 287,027.58
  5. Step 5: Solve for x
    x = 287,027.58/461.32
  6. Step 6: Final answer
    x = 622.19

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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.