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Finding the Fourth Proportional to 395.69, 593.54 and 164.62

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Solution

The fourth proportional to 395.69, 593.54 and 164.62 is: 246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.69 : 593.54 = 164.62 : x
  2. Step 2: Convert to fraction form
    395.69/593.54 = 164.62/x
  3. Step 3: Cross multiply
    395.69x = 593.54 × 164.62
  4. Step 4: Simplify right side
    395.69x = 97,706.87
  5. Step 5: Solve for x
    x = 97,706.87/395.69
  6. Step 6: Final answer
    x = 246.93

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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.