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Finding the Fourth Proportional to 461.07, 692.29 and 452.87

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Solution

The fourth proportional to 461.07, 692.29 and 452.87 is: 679.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.07 : 692.29 = 452.87 : x
  2. Step 2: Convert to fraction form
    461.07/692.29 = 452.87/x
  3. Step 3: Cross multiply
    461.07x = 692.29 × 452.87
  4. Step 4: Simplify right side
    461.07x = 313,517.37
  5. Step 5: Solve for x
    x = 313,517.37/461.07
  6. Step 6: Final answer
    x = 679.98

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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.