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Finding the Fourth Proportional to 692.31, 1,038.56 and 327.18

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Solution

The fourth proportional to 692.31, 1,038.56 and 327.18 is: 490.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.31 : 1,038.56 = 327.18 : x
  2. Step 2: Convert to fraction form
    692.31/1,038.56 = 327.18/x
  3. Step 3: Cross multiply
    692.31x = 1,038.56 × 327.18
  4. Step 4: Simplify right side
    692.31x = 339,794.42
  5. Step 5: Solve for x
    x = 339,794.42/692.31
  6. Step 6: Final answer
    x = 490.81

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Why These Related Problems?

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