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Finding the Fourth Proportional to 502.36, 692.82 and 327.76

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Solution

The fourth proportional to 502.36, 692.82 and 327.76 is: 452.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.36 : 692.82 = 327.76 : x
  2. Step 2: Convert to fraction form
    502.36/692.82 = 327.76/x
  3. Step 3: Cross multiply
    502.36x = 692.82 × 327.76
  4. Step 4: Simplify right side
    502.36x = 227,078.68
  5. Step 5: Solve for x
    x = 227,078.68/502.36
  6. Step 6: Final answer
    x = 452.02

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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.