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Finding the Fourth Proportional to 920.65, 1,380.42 and 400.38

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Solution

The fourth proportional to 920.65, 1,380.42 and 400.38 is: 600.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.65 : 1,380.42 = 400.38 : x
  2. Step 2: Convert to fraction form
    920.65/1,380.42 = 400.38/x
  3. Step 3: Cross multiply
    920.65x = 1,380.42 × 400.38
  4. Step 4: Simplify right side
    920.65x = 552,692.56
  5. Step 5: Solve for x
    x = 552,692.56/920.65
  6. Step 6: Final answer
    x = 600.33

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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.