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Finding the Fourth Proportional to 399.29, 547.71 and 395.83

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Solution

The fourth proportional to 399.29, 547.71 and 395.83 is: 542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.29 : 547.71 = 395.83 : x
  2. Step 2: Convert to fraction form
    399.29/547.71 = 395.83/x
  3. Step 3: Cross multiply
    399.29x = 547.71 × 395.83
  4. Step 4: Simplify right side
    399.29x = 216,797.31
  5. Step 5: Solve for x
    x = 216,797.31/399.29
  6. Step 6: Final answer
    x = 542.96

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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.