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Finding the Fourth Proportional to 692.64, 1,038.42 and 327.24

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Solution

The fourth proportional to 692.64, 1,038.42 and 327.24 is: 490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.64 : 1,038.42 = 327.24 : x
  2. Step 2: Convert to fraction form
    692.64/1,038.42 = 327.24/x
  3. Step 3: Cross multiply
    692.64x = 1,038.42 × 327.24
  4. Step 4: Simplify right side
    692.64x = 339,812.56
  5. Step 5: Solve for x
    x = 339,812.56/692.64
  6. Step 6: Final answer
    x = 490.60

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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.