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Finding the Fourth Proportional to 395.36, 593.76 and 338.08

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Solution

The fourth proportional to 395.36, 593.76 and 338.08 is: 507.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.36 : 593.76 = 338.08 : x
  2. Step 2: Convert to fraction form
    395.36/593.76 = 338.08/x
  3. Step 3: Cross multiply
    395.36x = 593.76 × 338.08
  4. Step 4: Simplify right side
    395.36x = 200,738.38
  5. Step 5: Solve for x
    x = 200,738.38/395.36
  6. Step 6: Final answer
    x = 507.74

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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.