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Finding the Fourth Proportional to 395.72, 593.10 and 179.08

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Solution

The fourth proportional to 395.72, 593.10 and 179.08 is: 268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.72 : 593.10 = 179.08 : x
  2. Step 2: Convert to fraction form
    395.72/593.10 = 179.08/x
  3. Step 3: Cross multiply
    395.72x = 593.10 × 179.08
  4. Step 4: Simplify right side
    395.72x = 106,212.35
  5. Step 5: Solve for x
    x = 106,212.35/395.72
  6. Step 6: Final answer
    x = 268.40

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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.