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Finding the Fourth Proportional to 400.28, 599.55 and 194.42

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Solution

The fourth proportional to 400.28, 599.55 and 194.42 is: 291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.28 : 599.55 = 194.42 : x
  2. Step 2: Convert to fraction form
    400.28/599.55 = 194.42/x
  3. Step 3: Cross multiply
    400.28x = 599.55 × 194.42
  4. Step 4: Simplify right side
    400.28x = 116,561.51
  5. Step 5: Solve for x
    x = 116,561.51/400.28
  6. Step 6: Final answer
    x = 291.20

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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.