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Finding the Fourth Proportional to 692.58, 1,038.36 and 327.63

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Solution

The fourth proportional to 692.58, 1,038.36 and 327.63 is: 491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.58 : 1,038.36 = 327.63 : x
  2. Step 2: Convert to fraction form
    692.58/1,038.36 = 327.63/x
  3. Step 3: Cross multiply
    692.58x = 1,038.36 × 327.63
  4. Step 4: Simplify right side
    692.58x = 340,197.89
  5. Step 5: Solve for x
    x = 340,197.89/692.58
  6. Step 6: Final answer
    x = 491.20

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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.