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Finding the Fourth Proportional to 400.20, 551.43 and 306.93

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Solution

The fourth proportional to 400.20, 551.43 and 306.93 is: 422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.20 : 551.43 = 306.93 : x
  2. Step 2: Convert to fraction form
    400.20/551.43 = 306.93/x
  3. Step 3: Cross multiply
    400.20x = 551.43 × 306.93
  4. Step 4: Simplify right side
    400.20x = 169,250.41
  5. Step 5: Solve for x
    x = 169,250.41/400.20
  6. Step 6: Final answer
    x = 422.91

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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.