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Finding the Fourth Proportional to 920.28, 1,380.38 and 400.28

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Solution

The fourth proportional to 920.28, 1,380.38 and 400.28 is: 600.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.28 : 1,380.38 = 400.28 : x
  2. Step 2: Convert to fraction form
    920.28/1,380.38 = 400.28/x
  3. Step 3: Cross multiply
    920.28x = 1,380.38 × 400.28
  4. Step 4: Simplify right side
    920.28x = 552,531.60
  5. Step 5: Solve for x
    x = 552,531.60/920.28
  6. Step 6: Final answer
    x = 600.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.