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Finding the Fourth Proportional to 395.34, 593.01 and 179.10

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Solution

The fourth proportional to 395.34, 593.01 and 179.10 is: 268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.34 : 593.01 = 179.10 : x
  2. Step 2: Convert to fraction form
    395.34/593.01 = 179.10/x
  3. Step 3: Cross multiply
    395.34x = 593.01 × 179.10
  4. Step 4: Simplify right side
    395.34x = 106,208.09
  5. Step 5: Solve for x
    x = 106,208.09/395.34
  6. Step 6: Final answer
    x = 268.65

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