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Finding the Fourth Proportional to 461.84, 692.52 and 173.07

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Solution

The fourth proportional to 461.84, 692.52 and 173.07 is: 259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.84 : 692.52 = 173.07 : x
  2. Step 2: Convert to fraction form
    461.84/692.52 = 173.07/x
  3. Step 3: Cross multiply
    461.84x = 692.52 × 173.07
  4. Step 4: Simplify right side
    461.84x = 119,854.44
  5. Step 5: Solve for x
    x = 119,854.44/461.84
  6. Step 6: Final answer
    x = 259.52

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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.