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Finding the Fourth Proportional to 399.38, 547.55 and 392.09

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Solution

The fourth proportional to 399.38, 547.55 and 392.09 is: 537.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.38 : 547.55 = 392.09 : x
  2. Step 2: Convert to fraction form
    399.38/547.55 = 392.09/x
  3. Step 3: Cross multiply
    399.38x = 547.55 × 392.09
  4. Step 4: Simplify right side
    399.38x = 214,688.88
  5. Step 5: Solve for x
    x = 214,688.88/399.38
  6. Step 6: Final answer
    x = 537.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.