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Finding the Fourth Proportional to 397, 547.38 and 323.16

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Solution

The fourth proportional to 397, 547.38 and 323.16 is: 445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    397 : 547.38 = 323.16 : x
  2. Step 2: Convert to fraction form
    397/547.38 = 323.16/x
  3. Step 3: Cross multiply
    397x = 547.38 × 323.16
  4. Step 4: Simplify right side
    397x = 176,891.32
  5. Step 5: Solve for x
    x = 176,891.32/397
  6. Step 6: Final answer
    x = 445.57

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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.