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Finding the Fourth Proportional to 692.36, 1,038.52 and 327.41

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Solution

The fourth proportional to 692.36, 1,038.52 and 327.41 is: 491.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.36 : 1,038.52 = 327.41 : x
  2. Step 2: Convert to fraction form
    692.36/1,038.52 = 327.41/x
  3. Step 3: Cross multiply
    692.36x = 1,038.52 × 327.41
  4. Step 4: Simplify right side
    692.36x = 340,021.83
  5. Step 5: Solve for x
    x = 340,021.83/692.36
  6. Step 6: Final answer
    x = 491.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.