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Finding the Fourth Proportional to 692.55, 955.92 and 409.23

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Solution

The fourth proportional to 692.55, 955.92 and 409.23 is: 564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.55 : 955.92 = 409.23 : x
  2. Step 2: Convert to fraction form
    692.55/955.92 = 409.23/x
  3. Step 3: Cross multiply
    692.55x = 955.92 × 409.23
  4. Step 4: Simplify right side
    692.55x = 391,193.53
  5. Step 5: Solve for x
    x = 391,193.53/692.55
  6. Step 6: Final answer
    x = 564.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.