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Finding the Fourth Proportional to 461.94, 692.30 and 412.90

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Solution

The fourth proportional to 461.94, 692.30 and 412.90 is: 618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.94 : 692.30 = 412.90 : x
  2. Step 2: Convert to fraction form
    461.94/692.30 = 412.90/x
  3. Step 3: Cross multiply
    461.94x = 692.30 × 412.90
  4. Step 4: Simplify right side
    461.94x = 285,849.97
  5. Step 5: Solve for x
    x = 285,849.97/461.94
  6. Step 6: Final answer
    x = 618.81

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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.