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Finding the Fourth Proportional to 692.25, 955.19 and 412.29

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Solution

The fourth proportional to 692.25, 955.19 and 412.29 is: 568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.25 : 955.19 = 412.29 : x
  2. Step 2: Convert to fraction form
    692.25/955.19 = 412.29/x
  3. Step 3: Cross multiply
    692.25x = 955.19 × 412.29
  4. Step 4: Simplify right side
    692.25x = 393,816.32
  5. Step 5: Solve for x
    x = 393,816.32/692.25
  6. Step 6: Final answer
    x = 568.90

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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.