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Finding the Fourth Proportional to 461.96, 692.13 and 411.74

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Solution

The fourth proportional to 461.96, 692.13 and 411.74 is: 616.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.96 : 692.13 = 411.74 : x
  2. Step 2: Convert to fraction form
    461.96/692.13 = 411.74/x
  3. Step 3: Cross multiply
    461.96x = 692.13 × 411.74
  4. Step 4: Simplify right side
    461.96x = 284,977.61
  5. Step 5: Solve for x
    x = 284,977.61/461.96
  6. Step 6: Final answer
    x = 616.89

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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.