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Finding the Fourth Proportional to 692.28, 955.46 and 430.31

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Solution

The fourth proportional to 692.28, 955.46 and 430.31 is: 593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.28 : 955.46 = 430.31 : x
  2. Step 2: Convert to fraction form
    692.28/955.46 = 430.31/x
  3. Step 3: Cross multiply
    692.28x = 955.46 × 430.31
  4. Step 4: Simplify right side
    692.28x = 411,147.46
  5. Step 5: Solve for x
    x = 411,147.46/692.28
  6. Step 6: Final answer
    x = 593.90

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