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Finding the Fourth Proportional to 692.23, 955.60 and 426.72

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Solution

The fourth proportional to 692.23, 955.60 and 426.72 is: 589.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.23 : 955.60 = 426.72 : x
  2. Step 2: Convert to fraction form
    692.23/955.60 = 426.72/x
  3. Step 3: Cross multiply
    692.23x = 955.60 × 426.72
  4. Step 4: Simplify right side
    692.23x = 407,769.64
  5. Step 5: Solve for x
    x = 407,769.64/692.23
  6. Step 6: Final answer
    x = 589.07

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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.