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Finding the Fourth Proportional to 692.50, 955.74 and 440.45

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Solution

The fourth proportional to 692.50, 955.74 and 440.45 is: 607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.50 : 955.74 = 440.45 : x
  2. Step 2: Convert to fraction form
    692.50/955.74 = 440.45/x
  3. Step 3: Cross multiply
    692.50x = 955.74 × 440.45
  4. Step 4: Simplify right side
    692.50x = 420,954.49
  5. Step 5: Solve for x
    x = 420,954.49/692.50
  6. Step 6: Final answer
    x = 607.88

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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.