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Finding the Fourth Proportional to 399.11, 549.43 and 343.52

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Solution

The fourth proportional to 399.11, 549.43 and 343.52 is: 472.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.11 : 549.43 = 343.52 : x
  2. Step 2: Convert to fraction form
    399.11/549.43 = 343.52/x
  3. Step 3: Cross multiply
    399.11x = 549.43 × 343.52
  4. Step 4: Simplify right side
    399.11x = 188,743.67
  5. Step 5: Solve for x
    x = 188,743.67/399.11
  6. Step 6: Final answer
    x = 472.91

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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.