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Finding the Fourth Proportional to 395.46, 547.02 and 334.26

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Solution

The fourth proportional to 395.46, 547.02 and 334.26 is: 462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.46 : 547.02 = 334.26 : x
  2. Step 2: Convert to fraction form
    395.46/547.02 = 334.26/x
  3. Step 3: Cross multiply
    395.46x = 547.02 × 334.26
  4. Step 4: Simplify right side
    395.46x = 182,846.91
  5. Step 5: Solve for x
    x = 182,846.91/395.46
  6. Step 6: Final answer
    x = 462.37

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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.