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Finding the Fourth Proportional to 461.67, 692.63 and 173.13

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Solution

The fourth proportional to 461.67, 692.63 and 173.13 is: 259.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.67 : 692.63 = 173.13 : x
  2. Step 2: Convert to fraction form
    461.67/692.63 = 173.13/x
  3. Step 3: Cross multiply
    461.67x = 692.63 × 173.13
  4. Step 4: Simplify right side
    461.67x = 119,915.03
  5. Step 5: Solve for x
    x = 119,915.03/461.67
  6. Step 6: Final answer
    x = 259.74

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