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Finding the Fourth Proportional to 461.53, 692.60 and 172.97

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Solution

The fourth proportional to 461.53, 692.60 and 172.97 is: 259.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.53 : 692.60 = 172.97 : x
  2. Step 2: Convert to fraction form
    461.53/692.60 = 172.97/x
  3. Step 3: Cross multiply
    461.53x = 692.60 × 172.97
  4. Step 4: Simplify right side
    461.53x = 119,798.26
  5. Step 5: Solve for x
    x = 119,798.26/461.53
  6. Step 6: Final answer
    x = 259.57

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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.