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Finding the Fourth Proportional to 395.53, 593.41 and 164.46

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Solution

The fourth proportional to 395.53, 593.41 and 164.46 is: 246.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.53 : 593.41 = 164.46 : x
  2. Step 2: Convert to fraction form
    395.53/593.41 = 164.46/x
  3. Step 3: Cross multiply
    395.53x = 593.41 × 164.46
  4. Step 4: Simplify right side
    395.53x = 97,592.21
  5. Step 5: Solve for x
    x = 97,592.21/395.53
  6. Step 6: Final answer
    x = 246.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.