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Finding the Fourth Proportional to 461.74, 692.27 and 415.33

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Solution

The fourth proportional to 461.74, 692.27 and 415.33 is: 622.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.74 : 692.27 = 415.33 : x
  2. Step 2: Convert to fraction form
    461.74/692.27 = 415.33/x
  3. Step 3: Cross multiply
    461.74x = 692.27 × 415.33
  4. Step 4: Simplify right side
    461.74x = 287,519.29
  5. Step 5: Solve for x
    x = 287,519.29/461.74
  6. Step 6: Final answer
    x = 622.68

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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.