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Finding the Fourth Proportional to 692.47, 1,038.11 and 327.01

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Solution

The fourth proportional to 692.47, 1,038.11 and 327.01 is: 490.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.47 : 1,038.11 = 327.01 : x
  2. Step 2: Convert to fraction form
    692.47/1,038.11 = 327.01/x
  3. Step 3: Cross multiply
    692.47x = 1,038.11 × 327.01
  4. Step 4: Simplify right side
    692.47x = 339,472.35
  5. Step 5: Solve for x
    x = 339,472.35/692.47
  6. Step 6: Final answer
    x = 490.23

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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.