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Finding the Fourth Proportional to 395.63, 593.45 and 107.07

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Solution

The fourth proportional to 395.63, 593.45 and 107.07 is: 160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.63 : 593.45 = 107.07 : x
  2. Step 2: Convert to fraction form
    395.63/593.45 = 107.07/x
  3. Step 3: Cross multiply
    395.63x = 593.45 × 107.07
  4. Step 4: Simplify right side
    395.63x = 63,539.70
  5. Step 5: Solve for x
    x = 63,539.70/395.63
  6. Step 6: Final answer
    x = 160.60

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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.