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Finding the Fourth Proportional to 399.41, 551.02 and 288.64

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Solution

The fourth proportional to 399.41, 551.02 and 288.64 is: 398.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.41 : 551.02 = 288.64 : x
  2. Step 2: Convert to fraction form
    399.41/551.02 = 288.64/x
  3. Step 3: Cross multiply
    399.41x = 551.02 × 288.64
  4. Step 4: Simplify right side
    399.41x = 159,046.41
  5. Step 5: Solve for x
    x = 159,046.41/399.41
  6. Step 6: Final answer
    x = 398.20

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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.