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Finding the Fourth Proportional to 461.73, 692.19 and 325.65

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Solution

The fourth proportional to 461.73, 692.19 and 325.65 is: 488.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.73 : 692.19 = 325.65 : x
  2. Step 2: Convert to fraction form
    461.73/692.19 = 325.65/x
  3. Step 3: Cross multiply
    461.73x = 692.19 × 325.65
  4. Step 4: Simplify right side
    461.73x = 225,411.67
  5. Step 5: Solve for x
    x = 225,411.67/461.73
  6. Step 6: Final answer
    x = 488.19

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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.