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Finding the Fourth Proportional to 692.87, 956.07 and 398.03

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Solution

The fourth proportional to 692.87, 956.07 and 398.03 is: 549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.87 : 956.07 = 398.03 : x
  2. Step 2: Convert to fraction form
    692.87/956.07 = 398.03/x
  3. Step 3: Cross multiply
    692.87x = 956.07 × 398.03
  4. Step 4: Simplify right side
    692.87x = 380,539.76
  5. Step 5: Solve for x
    x = 380,539.76/692.87
  6. Step 6: Final answer
    x = 549.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.