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Finding the Fourth Proportional to 692.53, 955.63 and 382.01

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Solution

The fourth proportional to 692.53, 955.63 and 382.01 is: 527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.53 : 955.63 = 382.01 : x
  2. Step 2: Convert to fraction form
    692.53/955.63 = 382.01/x
  3. Step 3: Cross multiply
    692.53x = 955.63 × 382.01
  4. Step 4: Simplify right side
    692.53x = 365,058.31
  5. Step 5: Solve for x
    x = 365,058.31/692.53
  6. Step 6: Final answer
    x = 527.14

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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.