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Finding the Fourth Proportional to 692.56, 955.20 and 430.48

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Solution

The fourth proportional to 692.56, 955.20 and 430.48 is: 593.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.56 : 955.20 = 430.48 : x
  2. Step 2: Convert to fraction form
    692.56/955.20 = 430.48/x
  3. Step 3: Cross multiply
    692.56x = 955.20 × 430.48
  4. Step 4: Simplify right side
    692.56x = 411,194.50
  5. Step 5: Solve for x
    x = 411,194.50/692.56
  6. Step 6: Final answer
    x = 593.73

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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.