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Finding the Fourth Proportional to 399.49, 551.57 and 301.78

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Solution

The fourth proportional to 399.49, 551.57 and 301.78 is: 416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.49 : 551.57 = 301.78 : x
  2. Step 2: Convert to fraction form
    399.49/551.57 = 301.78/x
  3. Step 3: Cross multiply
    399.49x = 551.57 × 301.78
  4. Step 4: Simplify right side
    399.49x = 166,452.79
  5. Step 5: Solve for x
    x = 166,452.79/399.49
  6. Step 6: Final answer
    x = 416.66

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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.