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Finding the Fourth Proportional to 461.58, 692.67 and 173.02

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Solution

The fourth proportional to 461.58, 692.67 and 173.02 is: 259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.58 : 692.67 = 173.02 : x
  2. Step 2: Convert to fraction form
    461.58/692.67 = 173.02/x
  3. Step 3: Cross multiply
    461.58x = 692.67 × 173.02
  4. Step 4: Simplify right side
    461.58x = 119,845.76
  5. Step 5: Solve for x
    x = 119,845.76/461.58
  6. Step 6: Final answer
    x = 259.64

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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.