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Finding the Fourth Proportional to 399.67, 551.28 and 301.39

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Solution

The fourth proportional to 399.67, 551.28 and 301.39 is: 415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.67 : 551.28 = 301.39 : x
  2. Step 2: Convert to fraction form
    399.67/551.28 = 301.39/x
  3. Step 3: Cross multiply
    399.67x = 551.28 × 301.39
  4. Step 4: Simplify right side
    399.67x = 166,150.28
  5. Step 5: Solve for x
    x = 166,150.28/399.67
  6. Step 6: Final answer
    x = 415.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.