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Finding the Fourth Proportional to 692.73, 956.07 and 398.01

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Solution

The fourth proportional to 692.73, 956.07 and 398.01 is: 549.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.73 : 956.07 = 398.01 : x
  2. Step 2: Convert to fraction form
    692.73/956.07 = 398.01/x
  3. Step 3: Cross multiply
    692.73x = 956.07 × 398.01
  4. Step 4: Simplify right side
    692.73x = 380,529.01
  5. Step 5: Solve for x
    x = 380,529.01/692.73
  6. Step 6: Final answer
    x = 549.32

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Why These Related Problems?

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